There are wide ranges of strength in peoples beliefs. I'm sure some can never be convinced, but for others it's a question of chipping away at why, and how they would define reasoning in ways that categorically excludes machines but not a significant portion of people.
Well, sometimes it's just interesting to dig into and sometimes it has an effect. In this case I think it also extends past formal religion and to a broader more vague spiritual wish to see us as more than automatons. But religious views certainly tend to leave people with less flexible views on it.
I'll change my mind if you show me a higher power and that higher power personally tells me that humans are inherently special. No prophets, no texts, no metaphors, no sunsets. A personal meeting with a God. Considering the Christian God is supposedly omnipresent, this should be a very low bar to clear.