Oh man, this is too easy.
"...I frankly would be really worried if someone assured me that nothing in their faith would affect their judgments ..."
On this we would agree. In my opinion, having faith is an admission that one's judgment is impaired, or one is a charlatan playing the game and conning the gullible. Either way, I have a problem with that.
"...because then I'd wonder--how can you have judgment if you have no faith?"
Since having faith by definition requires one to suspend judgment, your understanding of faith is obviously faulty.
"How can I trust you with power if you don't pray?"
On the other hand, how can I trust someone with power who believes that they can influence an omniscient super-being and control events by whining, wheedling, cajoling, and/or sniveling, groveling and begging at it? Answer: I'm forced to.
"Who you pray to, how you pray, how you come close to God is between you and God, ..."
Only when what you do doesn't affect the quality of life for the rest of us. Gott Mit Uns!
"...but..."
Always a "but" with you guys.
"... the notion that you're endowed by your creator sets a certain boundary on what we mean by "America."
Endowed: to furnish, as with some talent, faculty, or quality; equip: Nature has endowed her with great ability.*
If you believe in such things, to be endowed means to be given. It's yours. No need to go back to the well, you already have it. Such language contains no requirement to pray or give thanks, that's personal.
It's a shame only dolts like this one are considered electable.
Edit: * Dictionary.com