It's a technical, fairly difficult job that has no particular political connotations, so I doubt there are any big campaign contributors dying to be on the Fed. And remember, it doesn't pay very well, certainly by Republican standards.

I don't know of many evangelicals who want to deny gay couples their legal rights. However most of us don't want to call it marriage because we think that word has religious connotations and we're not ready to see it used in ways that offend us.