There are a lot of differences between the two groups, but there are similarities too, at least on surface level. Both theologies decry degeneracy like LGBT and "immoral" dress and Islam is even more reactionary and strict than it's mainstream Christian counterpart.
As a matter of fact I believe that if everyone followed original Christianity very literally, that it would be no better, perhaps only minus the barbaric violent punishment aspect. I honestly believe Islam and Christian theology have overlapping motives, but the methods are different.
I'm not saying this to be anti-Western or anti-Christianity either. "Nominal" Christianity has done good for advancing the West. But what are your opinions?