I'm a Christian and I'm one of the most analytical people I have ever met. I know many other analytical Christians. I have studied the writings of many past and current Christian theologians and I can state that they are surely and thoroughly analytical in their writings and their conclusions.
With all of that said, every Christian I know realizes that we believe in some "crazy stuff" and that the world deems crazy. However, our analysis of the testimony by the witnesses in the bible, the testimony of those fellow Christians who have experienced the affect on our lives from the love of Christ and the power to change ourselves to be like Christ that only comes from the Holy Spirit provides us analytical types with sufficient evidence that the biblical claims are true. Further our personal experience that comes from reading scripture and prayer leads us to the analytical conclusion that Christ was born, Christ died on the cross for us and Christ rose from the dead and ascended to heaven.
We do realize that this conclusion based on analyzing the evidence presented leads to "crazy stuff" but that is the nature of using reason and analysis and applying it to the evidence in the nature of the testimony given by scripture as well as the testing of the scripture in our daily lives.
>”...only comes from the Holy Spirit...”<
I think that’s the key to what’s religious about your response. Mere analysis isn’t religious, though religion of course has to reason out many intermediate steps. My own view is that an analysis of the natural world itself reveals patterns, but a pattern isn’t necessarily worthy of worship. Clearly evil is deeply ingrained into nature itself (if you consider extreme cruelty and exploitation of one creature by another to be evil, and I do — and allowing human beings, innocent as well as guilty, to suffer horrifically throughout history and everywhere people have ever been). Along with the good there’s a mixture of evil that could just as well be the result of a malevolent deity (a Devil) as of a benevolent one (the God most believers worship)
In my opinion only experience — actual experience of something supernatural — can justify religion. By “experience” I mean what some persons believe happens during prayer and at other times in their lives, a mystical transcendence of their ordinary being. That experience gives them hope of a kind of salvation that rises about the natural world, and doesn’t depend on the ordinary analysis of cause and effect.
What they are experiencing may be an illusion, a mere emotion not really indicative of truth beyond the feeling itself. Skeptics can dismiss it as having no implications. They can’t really argue with it, though. You either have it and believe, or don’t have it and don’t.