Yes and yes, the latter due to a probably misplaced faith in the American public. Back when I was a teenager, I didn’t think Reagan would be elected once, let alone twice.
I’ll be the first to admit that dealing with the pressures of running the United States, including dealing with contentious issues such as abortion, fractious politicians, whining bureaucrats and lobbyists could drive a person to prayer, profanity, or both, but I don’t see how the presence or absence of a religion could contribute to a person’s ability to do the job.
I’m a tech, at heart. This means that, when it comes to doing any job, whether it’s president or paperboy, the ultimate question is, “Can the person do the job?”. Religion has nothing to do with one’s ability to manage. Indeed, I freely admit it can interfere with one’s ability to look at things clearly and objectively – just look at discussions of homosexual marriage.
If a politician’s views matched mine more than anyone else’s, and he wasn’t a Republican or Democrat, I’d vote for him (or her!) in a heartbeat. If his views were close enough, I might even make an exception to my policy of not voting for major-party candidates and vote Republican or Democrat. Of course, I might want to go to confession, afterwards.
I am a Christian. On the other hand, the person on this message board who has most infuriated me is also a Christian. Two of my closest friends and the most moral people I know are Wiccans. They’re also Republicans, at least one of whom supported Reagan (he has other redeeming characteristics!;)). Several good friends are, I think, agnostic to Atheist, and I think they’re amused by my quaint religiousness. Certainly, some of my favorite people around here (gobear, to name one) are atheists. On the other hand, blowero, if we need to bring up Atheists who have a low opinion of Christians, do I really have to mention badchad? Maybe I’m not a true Christian for saying this, but to me, whatever faith a person does or does not profess is not a reliable indication of the content of his or her character or ability.
I’d much rather vote for a competent Atheist than an incompetent Christian. In fact, if anyone knows a competent Atheist politician, could you please send him or her my direction? My city and state could use competent politicians! 
Respectfully,
CJ