Check out rise against.
Make it stop(September children) fits the lgbtq quite good, some(most) of them are straight edge (no drugs, no drinking), and definitely quite anti capitalist from different song.
Also I love the band, so check it out :D
Do it. I think I have been to their shows once each tour in Germany for the last 15 years(if they actually had a tour, and not just a few festival gigs) ind regrett nothing :D
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