There's no moral equivlanecy between the two and any attempt to draw one is absurd.
ANTIFA, at their worst, commits mob violence, which is sadly, not uncommon in large groups of people. It's a loose group, but broadly, their goals are not extremist.
This contrasts with the Alt-Right, which is a far more organized white supremacist movement that engages in widespread plausabile deniability about that fact (as if the rest of us are idiots and don't see them for what they are... really... it's just insulting). At their worst, they engage in jihadi-style terrorism and worse, as we've seen the past week from some of our own Alt-Right people, but across the internet as a whole, excuse the terrorism just like Islamists do.
ANTIFA is a protest group that engaged in lawbreaking periodically. But it's civilian crimes, like property destruction and assault. It falls well within the preview of local and state police.
The far more organized Alt-Right is far closer to the Islamist groups in Europe that we don't really have in the US, namely these guys:
They committed one terrorist attack and their supporters have excused it, just as the islamists do. They should be watched not just by local and state police, but the Department of Homeland Security.
They are an extremist group. Their agenda is extremist. Their tactics are extremist. Just like Islamists. ANTIFA, which has some thuggish members no doubt, does not check any of those boxes. ANTIFA is no different than any of the protest groups across the last 50 years, from ANSWER to the WTO Protests, to the Vietnam war ones, that occasionally get rough.
Rough. But not terrorism. Which is exactly what the Alt-Right did and then excused.
So no. There is no equivalency, period.