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She thinks that she sees spirits, which are real. Thus, from her perspective, she doesn't have psychiatric problems.
You, by contrast, think that she is hallucinating.
What does she think you think about her troubles, if I might ask? Like, does she know that you think her "spirits" are just her brain misfiring, or did you tell her that you believe her?
If the first, its really hard to see how you are in a relationship. Like would you be cool with going out with someone who thinks that you think they are crazy, but doesn't mind you having that belief as long as you don't act on it? Surely that points to some problems in her mental model of you.
If the second, you are betraying her trust. You don't seem to have a problem with that, posting here, telling her shrink, etc, but its going to come up if you ever do actually try to do an intervention. After all, to get her to accept help you'll have to get her to believe that she needs it, and a precursor to that is informing her that you believe that she needs it. It seems like she'll be super upset about that last bit.
I've told her I don't believe in spirits, but I have also told her that I believe she's accurately reporting her experiences - that she really is "seeing" what she says she sees and not making up stories.
And yeah, our relationship is kind of shaky, although we've been together since August of 2014. I'm not willing to abandon her; I feel like she'd fall apart even further without me.