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Hence Adam's assertion that there shouldn't be public washrooms.

I Agree, but the thing is transgenders will say people are discriminating against them. Because they can't use the opposite sex washrooms.

Which is an excellent argument against anti-discrimination law.

Then boycott businesses that refuse to segregate based on sexual organs. Your preference on admission rules for the shitter does not however justify violence towards business owners that refuse to segregate. The only issue I see here is that you call it an "issue".