That, and perhaps follow Andy Warhol`s advice:

Don't pay any attention to what they write about you. Just measure it in inches.

Yeah that's easy to say and it really should be practiced but we all want and crave validation. The web can be incredibly harsh and ignorant (just take a look at a few of the comments here that got downvoteed to hell, which they deserved by the way) but when you get that validation from total strangers there's nothing like it! It's a rush, it's addictive, and it feels so much better than the hate.

I would say, if anything, you should do your best to filter out the total assholes but not disregard all negative feedback. There's a difference between "I hate x software because I'm a FOSS fanatic and your company sucks and destroys the earth", which is pretty harsh and "fuck you, you're queer" which is just safe to ignore.