Two thoughts;
(1) I don't always manage to do this, but when somebody is staring at me, it can be quite effective to smile at them. They're likely to look away hastily, or else sheepishly smile back, so then at least they're smiling at me instead of staring at me, which is an improvement of sorts.
(2) Fully agree there is (or can be) an autistic vibe that people pick up on. NTs are instinctively hostile to the unusual; they can't help it, it's just the way they were born, same as we were born Neurodivergent and we can't be blamed for that. However, quite often the autistic vibe is a charismatic or intriguing one, rather than a repellent one: they may be staring because they're just interested, not because they're actually reacting negatively. It's still rude of them, of course, but you don't have to be on the autism spectrum to suffer rudeness in everyday life!
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You can't be proud of being Neurodivergent, because it isn't something you've done: you can only be proud of not being ashamed. (paraphrasing Quentin Crisp)