...What do you do when someone brings up a topic you think is destructive (or at least not helpful to the overall cause)... but that you personally agree with? Do you just be quiet and keep your opinions to yourself? Or; after some time of everyone piling on the person that breached the subject is slandered enough.. do you finally come out and say... ENOUGH.. I agree with the guy. Yes, he shouldn't have said anything because now everyone is making a stink about it and is distracted from the bigger picture. Or.. do you just keep quiet?...
I think what you're describing here is competing interests. On the one hand you have your personal convictions about faith. On the other hand you have your personal convictions about politics. If you're like me, your faith informs your politics.
Does your faith inform your politics beyond policy to the point where you cannot support a politician who does not share your faith? You seem to indicate that the answer is no, which means your faith informs your politics in the area of policy, but not necessarily politicians.
I believe Justice John Jay had it right when he said we should prefer Christians as our leaders. Preference, for me, is not an absolute - it is a preference. Still, the further a politician strays from Christianity, the more likely I am to eye their politics for positions that I cannot support.
All that said, I think in the instance you cite, Jeffress was way out of line, and even though you agree with what he said, I don't think you have any moral or religious duty to openly support his statement.
A person's faith is between him and God. Romney thinks he's a Christian. What I think doesn't really matter to him or God, does it? John 3:16 just says that the only requirement for everlasting life is to believe in Christ. Who am I to judge if Romney fulfills that in God's eyes?
Instead, I look at policies, and find them wanting.
So I wouldn't die on that hill.