On the sole issue of which group is the most violent, the conservatives posting here have it in the right- it is the anti-Trump protestors who have been the most violent by far and who have shown a gross disrespect for freedom of speech and the political process. I wish this were not true as I am very much on their side. I believe that their cause is right, that Trump is preaching bigotry and hatred. But the Trump fans, with rare exceptions, have not acted in a violent way. The anti-Trump people have.
And as I have noted before, this is unfortunately true of progressives as a general rule at least for my entire life, dating from the time of the Vietnam War protests. They tend to be unruly and there always seems to be violence. The Tea Party, for all it's faults, have generally held peaceful protests, mindful of law and authority. The Occupy Movement did not. Neither did the BLM protests, or the Ferguson or Baltimore protests (both of which turned into angry riots.)
I do not know why the Left in this country tends to be more prone to violence than the Right. I don't know why the Left on college campuses shout down right wing speakers, with the effect of canceling free speech. I don't know why they are more intolerant of opposing opinion. I only know that, regrettably, these things are true.