Studies have shown for 50 years now that trying to convince a bigot to stop being a bigot is literally not possible. You cannot force someone to stop being bigoted. You can't convince them women should be able to divorce their husbands if they already believe that women shouldn't be able to.
We gain nothing by even speaking with them, literally nothing. MLK didn't just by himself win the civil rights movement, first of all. Nor did he come after Malcolm X or something. They were both a part of the same movement at the same time. The most effective tactics he employed had nothing to do with appealing to the humanity of white supremacist segregationists. The most effective tactics employed were the ones that broadcast injustice to the entire black community, promoting solidarity and resulting in widespread demonstrations, protests, and both passive and active civil unrest. MLK did not call for white saviors to come save them. He fought actively against the system that upheld white supremacy. He appealed to those who already believed that black people should have rights by broadcasting injustice that was self-evidently wrong.
Gays didn't get rights by begging at the feet of homophobes. We got rights by throwing bricks at them. We got rights by rioting, causing unrest and disrupting the homophobic as much as possible. We wouldn't be here if black drag queens in the 60s hadn't punched back.