You are a man of science and rationality. Your chosen profession of medicine demands it. You have written often and eloquently of the need for rigor in understanding scientific data. And yet, you do not seem to demand the same kind of rigor when it comes to matters of religion, even when it impacts you in a profoundly personal way.
Religious thought should receive the most scrutiny and the most rigorous examination of any human endeavor, in my opinion. Certainly, not less than science. But the kind of scrutiny is totally different. It's a different universe of discourse with different assumptions and different endpoints. Science is determined to describe the truth about the natural world we find ourselves in. It lends itself perfectly to empiric investigation. Religion (to me) is an investigation into the truth about the supernatural world. It's why we've found ourselves anywhere at all.
Supernatural and natural inquiries have different sets of rules, and because I've written a little on this before I'm somewhat surprised you would characterize my religious views as not rigorously examined. I suspect this may be a form of this idea: if you and I haven't come to the same conclusion then you just haven't thought about it enough.
Additionally, I want to go on record with some qualifiers. I am flattered that you have described me as a man of science and rationality. But one of the things that rationality has given me is a healthy skepticism for science. Science done correctly has done immeasurable good for our society. And science done badly has done (and continues to do) immeasurable harm. There are lots of reasons why scientifically accepted dogma is plain wrong. The data was measured wrong. The methodology was flawed. The analysis was biased. Over time we've improved as a society in picking out these errors and building safe-guards into the methodology. And over time the spin-masters, the marketers, and the plain liars have gotten better at obscuring the scientific flaws (perhaps sometimes deliberately). Gay issues are a major caution zone, I've noticed.
Qualifier two is that not all the rules are different for scientific and religious inquiry. Naturalism, yes. Inviolable physical laws, yes. Absolute consistency, yes. But God Himself asks us to "prove me now herewith"... to test things for ourselves. I can think of a number of "clinical trials" in the scriptures, so to speak. I can think of favorable references to logic and reason. It's a big part of what God expects of us. And far from accepting the premise of your first question, I believe my faith to be perhaps one of the most exquisitely consistent and logical of any I know. But ultimately it's a "faith" and not a "science". And therefore I'm okay when people disagree or come to different conclusions. I expect the same courtesy of them, even if what I believe bothers them. And that's the beauty of America--it was built on a constitution codifying just such a sentiment.
By the way, I've written on this before. Oh, and here and here.