What made it hard for me is that both sets of ideas are correct about some aspects of my experience and wrong about some aspects. The hallucinations are mostly wrong where they deviate from "standard" reality, but they're not entirely so and seem to be capturing some patterns that my brain is picking up that I can't articulate through other mechanisms. Counter-intuitively, admitting that there were facets of the hallucinations that did make sense made it easier to deal with accepting that there were parts that didn't as well.
I view it as having two approximate models for reality which have different faults -- one model is knowingly incomplete (but scrupulously consistent); the other model is knowingly inconsistent (but has models for any experience, and serves for "experimental" ideas). The goal is to try and work both towards a shared (underlying, objective) truth trapped "between" them in some sense.