I'm unhappy with any candidate that professes a strong belief in any religion.
Fair enough. I'll assume you allow the same freedom for religionists to require a strong belief from their candidates.
The thought that a President's decision making would have a presupposed bias
One could make the same argument of atheists.
based on childhood teachings scares me a little.
If they're religious now, one would assume that they've continued to be taught as adults.
The world is a volatile, ever changing place. It takes quick wits and unbiased thought to deal with that successfully
Quite true.
Someone who's decisions will be influenced by questionable dogma is not really up to the job.
There's all kinds of questionable dogma out there. Conservatism and liberalism are two that I can think of. I don't think you'll find any candidate who can satisfy this.
Any candidate that claims strong religious views is either a liar or a fool. Neither of the two would make a good President.
Fair enough again. Any candidate who believes the answers to life's difficult questions lie in his/her own head is an arrogant fool. Two sides of the same coin.