I kinda like the idea of "anti-reality", though I do not know what it means. How do you define "reality"?
To me, the mind is a part of "reality". It is part of "non-physical reality", which could also be called "anti-physical reality".
"Physical reality" and "non-physical reality" are one way of dividing "reality" into a dual polarity. I consider them both to be parts of "reality", though I prefer to use "manifest reality" (everything that God/Source created beyond itself). So "anti-reality" would be God/Source, which could also be called "unmanifested reality".