Belief in God is rational.
Everything has a cause. So unless there is a first cause, then you would have an infinite regress. And then nothing could exist. Therefore there must be a first cause. Therefore God, the first cause, exists. QED. (You could prove the first step a priori that everything has a cause by noting that nothing can come from nothing. This makes it a priori, not just an empirical observation).
problem with Islam
I noticed the problem with Islam but only after it was brought to my attention in the most unpleasant ways possible. Personal experience. Before that I had assumed as many others that we are all just people underneath our skins and everyone really just wants the same things security and happiness. I had to learn the hard way what Brett Stevens is suggesting apparently simply from thinking things out thoroughly. It might be considered a fault of mine to give people and groups the benefit of a doubt long after they have shown their true colors.
But on the other hand when I finally do decide that some group is bad, then at least I being a reliable source.