JL, it ain't about religion unless you consider Gold Standard vs. Fiat Monetary system religion. Let's put a Zoroastrian or Wiccan in there just to stir things up as far as I'm concerned (an atheist would be better and many American Jews are really atheists when you get under the covers). 
To extend that metaphor, I guess I'd have to consider those Gold Standard advocates to essentially be Pastafarians without any sense of humor. Fun to think about and laugh at, but impossible to take seriously.
While I agree with Obama that Summers should be respected for all his service to the country (despite some mistakes and being well paid for it) which is honorable, I'm mainly against Summers for a couple of reasons. #1 - He is way too close to Wall St. (when Main St. does well Wall St. does well, but not the other way around). #2 - He has too huge an ego already and it would get in the way of him making the "right" decisions at the Fed if there was any chance of him being percieved as "losing" and #3 - He's quite the misogynist as well if you know anything about him and have read his bio. He just doesn't play well with smart capable women and it makes him mistake prone when they are right as has happened many times in his career (opposing them so Team Boy can win).
My first choice would be 
Stephanie Kelton, not only is she brilliant and understands macro-economics and fiat monetary systems, but she's hot as well. 
Some other good choices in order of appeal to me (hoping this will stir some shit of course).
Elizabeth Warren. In 2007, observing that the federal  government regulated toasters more rigorously than home mortgages,  Harvard Law Professor Warren 
proposed  a Consumer Financial Protection Agency. Congress created that agency as  part of Dodd-Frank in 2010, but President Obama, believing Warren too  liberal to win Senate confirmation, appointed Richard Cordray director  of the new agency instead. The “economic” issue here was the  marketability of Warren herself.
 Obama’s political calculus proved wrong. Cordray was no better able  than Warren to win Senate confirmation, not because of any animus  against Cordray (who was highly qualified) but because Cordray’s  Republican Senate opponents were out to gut the agency itself. So Obama  gave Cordray a recess appointment whose constitutionality came into  question after a federal court challenged two other recess appointments  that Obama made at the same time to the National Labor Relations Board.  Eventually the whole mess got sorted out when Senate Majority Leader  Harry Reid threatened to eliminate filibusters for executive  appointments (excepting judgeships) unless Cordray and some other  nominees were approved. In the meantime, Warren had put aside all doubt  about her marketability by getting herself elected to the Senate. Score  one for Team Girl.
 Warren has long argued for breaking up the big banks in order to  avoid future bailouts and promote greater financial stability. The Obama  administration (particularly Treasury Secretary 
Tim Geithner  ) opposed this option when the Dodd-Frank bill was being drafted. Since  then, the banks have gotten bigger and evidence of continuing financial  mismanagement has surfaced in J.P. Morgan’s 
“London Whale” episode and insider-trading scandals at the 
Galleon Group and 
SAC Capital. As a result, 
even many conservatives are now on board with limiting bank size.
 
Warren 
recently cosponsored,  with Sen. John McCain, a bill to effectively re-impose Glass-Steagall,  which separated commercial banking from investment banking until its  repeal during the Clinton administration (at the urging of Summers,  among others). You can argue whether restoring Glass-Steagall is the  best way to tackle “too big to fail,” but not about whether Warren 
bested a male CNBC host in a recent televised interview about her bill. It wasn’t even close. Better to have her as a senator though IMHO.
 
Brooksley Born. Now celebrated for recognizing back in the  late 1990s that unregulated trading in derivatives–a major cause of the  2008 crash–threatened financial stability, Born was isolated and  overruled when, as chairman of the Commodity Futures Trading Commission,  she wanted to actually do something about that. After Born proposed  having the CFTC regulate derivatives, she got steamrolled by Team Boy  (in this instance, Fed Chairman Alan Greenspan, Treasury Secretary  Robert Rubin, Securities and Exchange Commission chairman Arthur Levitt,  Jr., and Summers himself, Rubin’s deputy and successor). Team Boy got  Congress to pass a law making it 
illegal for the CFTC or SEC to regulate derivatives. The 2010 Dodd-Frank law 
reversed  this catastrophically poor decision and put derivatives under SEC and  CFTC oversight. Rubin later said he viewed Born’s proposed policy as  “strident.”
 
Sheila Bair. Bair’s experience demonstrates that ignoring wise  economic advice from women is one of Washington’s last surviving  bipartisan traditions. After being appointed a CFTC commissioner by  President George H.W. Bush back in the 1990s, Bair voted against  exempting a certain corporation’s futures contracts from CFTC oversight  (an exemption sought on the grounds that the financial dealings in  question were too “sophisticated” to warrant regulation). She was  outvoted 2-1. A decade later, the corporation in question, Enron, went  belly-up and became a poster child for corporate fraud. By then, Bair  was an assistant Treasury secretary for financial institutions. In that  position, Bair sounded the alarm about subprime mortgages—another  principal cause of the 2008 crash—but was overruled by Team Boy in the  person of Fed chairman Alan Greenspan.
In 2006 Bair assumed her most important policymaking role as chairman  of the Federal Deposit Insurance Commission. There she continued  sounding the alarm on subprime mortgages, and pressed, unsuccessfully,  for tighter regulations. She also dragged her feet in approving a  recommendation by the international Basel Committee on Banking  Supervision to lower capital requirements—a move strongly favored by  both the banks and the Fed. Thanks to her resistance, 
The New York Times’ Joe Nocera later 
concluded,  U.S. banks suffered far less from the crash than their European  counterparts, which had adopted the recommendation and were consequently  more highly leveraged when the bottom fell out.
 
After the subprime market collapsed in 2007 Bair pressed hard (and  unsuccessfully) for a much more ambitious program of mortgage  modification than either Bush’s or Obama’s Team Boy was ultimately  willing to embrace. As a consequence, the economic recovery that began  in 2009 was (and remains) severely slowed by a sluggish housing market.
 
Christina Romer. As chairman of President Obama’s Council of  Economic Advisers, Romer encountered much the same male condescension  experienced by Born and Bair. Romer was convinced the economy needed  $1.8 trillion of stimulus to recover from the 2008 crash. Summers, then  director of the National Economic Council, told her to lower that  estimate, which she did to $1.2 trillion. Then Summers refused to  include that figure in a memo he sent to the president—not because he  disagreed with the economics, but because he couldn’t bear the  humiliation of having Congress knock that figure lower. According to one  colleague quoted in Noam Scheiber’s 2011 book 
The Escape Artists,  “He had a view that you don’t ever want to be seen as losing.” In the  end, the stimulus ended up totaling about $1 trillion, which, most  economists agree, was insufficient.
Janet Yellen. The Fed is the 
only policymaking body in Washington  actively working to reduce joblessness. Much of the credit belongs to  the current chairman, Ben Bernanke. But Yellen was on the case long  before. A recent 
Bloomberg analysis  concluded that the Fed’s decision to put unemployment on equal footing  with inflation as a concern driving monetary policy basically amounted  to Bernanke, who initially was focused entirely on price stability,  coming around to Yellen’s point of view. She's probably make a great Fed chief because she is under the radar and low profile and would be that much more ignored and under the radar as a woman, which is unfortunately true, but in this case a good thing. High profile Fed chiefs have been disastrous for us.
Bar Rafaeli. Well it would make JL happy and she's hot