If I see a guy looking at me I automatically think he wants to be like me. I mean is this normal or...? What do people think when they see someone looking at them in public?
There may be a fundamental difference here between men and women.
Most women are hard wired the other way - so if they see someone looking at them will think "do I look fat? have I got spinach between my teeth?" etc - ie. some negative reason that takes them out of the norm to attract a look.
There are exceptions though - so if a man is very obviously checking you ( as a woman) out in a sexual way then that's a different thing and easily identifiable as positive attention. But in the abstract someone just looking in a "normal" way without any over indication of positivity or negativity, I think most normal women will assume something negative and look for that.
You ask "how do I break this mindset?" - I know it's slightly delusional but isn't it a nice delusion to have? to always think people want to look like you/be like you/want to sleep with you? Why would you want to break that mindset?
I wish I thought like that. It must be a nice place to be cocooned in - always thinking people are looking for excessively positive reasons. Personally, I'd embrace it and enjoy it.