My experience does constitute as proof that I am right, for me.
Your experiences corroborate your belief you are right. They don't actually make you right. Being "right" can't be caveated, it's a factual thing.
So I have every right to claim that I am right, because I am.
See above. Thinking you are right != being right. You can claim you think you're right, which is what you're actually saying albeit badly, but in order to be objectively right you'd have to demonstrate you were. Which you can't. So a belief it remains.
It's not my intention to prove the existence of my experiences. I just share my understanding of what I know for fact as fact.
But you don't even appear to know what the word "fact" actually means? Why should anyone believe what you are saying is fact? In fact, why do you think what you are saying is fact?
I have the right to have my opinion
So is it opinion or fact? If you're claiming it's your opinion then that's fine, but don't go pretending it's fact. If you're claiming it's fact, then these claims should and will be subject to scrutiny and if you can't defend them they deserve to be ridiculed for portraying opinions as facts. You can't have it both ways.
I don't care if people don't realize they're wrong, as long as I know I am right.
"I'm right because I say in right and you're all wrong because I say so". Also, you clearly care enough to argue the toss about it.
I just don't care about the semantics of it all because I know I am right anyway.
It isn't semantics. You genuinely don't seem to understand what other people are saying. In fact, you don't even appear to understand what you