The question here is should you move past it?

You've expressed wishing to be included to spend some time with her and she rewarded that and your willingness to run out and do an errand she was too tired to do with destroying a project you were working on.

That isn't even remotely healthy behavior and is controlling in a sneaky way. In the future you will likely refrain from bringing up any topic that she might find uncomfortable because you will have a fear of loss. You'll never know what will happen the next time you inadvertently set her off. So you will shy away from anything that might make her mad.

When men do this type of thing to women, society in general comes back with a resounding response of "the first step is destroying things you are attached to. The next is you. Leave now, he's dangerous and this isn't normal."

Unfortunately, when men experience this same behavior they get responses of "well what did you do?" or "oh well, women act crazy sometimes."

That behavior is not normal and it's scary, regardless of gender. Personally, I would leave. My ex husband had an affair that lasted 7 months when I found out and I still didn't destroy his stuff. That isn't sane or normal behavior. At the very least I would move my stuff out and stay somewhere else while my SO sought therapy. Maybe after therapy and proof that they were able to control themselves I would consider returning. Big maybe.