Logic and faith don't have to be independent!
You can have logical faith - faith doesn't have to be irrational. In fact, irrational faith is the dangerous kind: when adherents of a belief system don't hold themselves to make sure there is no contradiction (or at the very least, honestly explore claims of contradiction and don't just write them off1), and make sure behaviors follow logically from the belief system, then you get people who will do anything "in the name of our belief."
There is even a good bit about Christianity that I don't like, per se, but I think it's true nonetheless. If I agreed with everything about it, it would be guaranteed to be erroneous.
This isn't unique to "religion" either - it also wholly applies to politics. The amount of illogic for many of the platforms in political parties and candidates across the world is baffling. Mostly the economic platforms - many of those are just astonishingly illogical and don't even match observation. Some of the platforms are more logical, but questionable - like it's logical to talk about the costs associated with mitigating climate change, but it's illogical to jump from "it's expensive" to "therefore it's just a scam people are using to get rich off us and make us eat bugs." Or the illogic in "we want to protect the downtrodden" but "people in that demographic group are privileged so we're going to force them to pay the bills."
1I'm familiar with most claims to contradiction in reform Christianity, and most of those are not really considered to be academically valid as they stem from logically faulty assumptions. But these are studied, not just "oh you think it's wrong? Don't worry about it!" or worse "You think it's wrong? Off with your head!".
Note that this doesn't mean that many many supposed followers of Christianity don't have contradictions though because, oh boy, do they! Like the amount of mental gymnastics people must go through to think it's OK to just deport immigrants instead of caring for them, or the arguments from not long ago about how "those aren't actually humans so it's ok to enslave them" kind of stuff.