I have a lot of experience in religion, and from my experience, i can say that analytical thinking does not negate faith, nor love, or even God. It's pretty easy to see that there are extreme elements in religion, however the very basics of religion, are of love, faith (belief) and love for God. Science nor analytical thinking cannot explain that. And thus leaves it alone.
Common sense does not equate to analytical thinking. Common sense always prevails against ridiculous and extreme elements which harm any human. You do not need analytical thinking for that. It's in our nature to care for fellow human beings. And thus love, faith, common sense (and even God) prevails in the person's life.
To assert that analytical thinking in any way disproves God or the supernatural, is absurd. That is why there are scientists who are in the field of confirming the presence of the "other" world.
Analytical thinking makes human beings out to be computers or calculators. Which we certainly are not.
We are basically just computers. We receive input, we process the information and we output information.