I see pride as being about something I have achieved, so Aspergers doesn't fall into that category (nor does my nationality, nor my gender, etc.) because it's simply something I was born with rather than something I have worked to achieve. However, I'm certainly not ashamed of it - which is possibly what people really mean when they say they are proud. I am what I am. And I'm happy to be me.
Strangeness is irrelevant really, because it only exists as a concept in relation to others. If you don't compare yourself with others, but just take yourself for who you are, the concept of strangeness is meaningless.
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'If the shoe doesn't fit, must we change the foot?' Gloria Steinem