Xiam
In a story about an asylum... why can't the real enemy be oneself?
It can and "character vs. self" is a major sub-category of conflicts, but your summary suggests nothing about a conflict/purpose, which is why I suspect you got that question in the first place. You've talked about the art, but I still have no idea what your story is even about, and why it might be worth drawing/reading in the first place.
If you want to have different styles of art within one story, I think you should have some sort of "anchor" style, with well-defined, limited stylistic variations representing the different characters. Otherwise, you will just end up with a mess that readers will have trouble parsing.