It's a universal problem, isn't it? Even NT parents and NT children don't always see eye-to-eye, just because of the generation gap. Add in quirky brains, and boy, things get confusing!
What sounds really frustrating is that they think they know things about you that they're actually wrong about. That would really irritate me--I would want to correct them, even though this would most likely annoy them.
Perhaps you could explain this to them--"Sometimes you assume things about me that aren't true, and I wish you would listen to me when I explain what I'm really thinking and feeling." But for goodness sakes, don't try this during an argument. Try it when they're in a good mood. And have a reasonably good example ready. Like: "The other day I was tired and I went to my room, and you thought I was mad at you. I was really and honestly just tired and wanted to be alone, I wasn't mad at all."
Parent/kid communication problems happen all the time. At least you know you're not alone, right?