As an unrelated note for the record, @Pepperm1nts, I have heard fewer complaints about the behavior of the extreme social justice warriors
Probably because in the grand scale of things they (the people actually shutting speeches down) are a minority of people who the right likes to shine a spotlight on to the paint the entire left as anti-free speech.
than I have the "Alt-Right" disavowing actual white nationalists and Neo-Nazis
The Alt-Right are the white nationalists and neo-nazis.
Assuming you meant to say conservatives: You really don't have to look very far to see people defending the alt-right. Like, really, look no further than the President following the Charlottesville attack, with his "good people on both sides" comment. Look no further than all the people who defended the murderer by claiming he was fleeing an attack despite overwhelming evidence of the contrary. Look no further than the President pretending he didn't know who David Duke was after being endorsed by him. Or the fact that Steve Bannon - the guy who described his platform as being "for the alt-right" back in 2016 - was White House Chief Strategist for the first seven months of the administration. These among countless examples. Being blind to the wrongs of one side because you prefer them politically does not constitute lack of evidence.