Romney's Mormonism does not rule him out for me.
But it is perfectly legitimate to consider a person's religion when evaluating his character, values, and way of thinking.
That's not bigotry.
Absolutely. For example, if a candidate based his beliefs on Catholicism we'd already be in agreement or only modest but amicable disagreement on a vast array of things, being co-religionists. But a "Catholic" like Kerry or Kennedy puts aside his nominal religion, for whatever reason, to embrace liberalism (as Romney has done). So their religion's values don't come through, and I would never vote for them.
I know from being brought up in his church that James Kennedy from Coral Ridge Presbyterian Church used to believe only Evangelical Christians should be elected president. If he still believes that, this could be a dilemma for him.