On the side they choose to support the radical voices adopt a zero tolerance policy for the other side and seek to eliminate any decent. The opposing side has proof that the platforms has a bias against them and will try to subvert the debate so thoughtful opinions do not bother under those circumstances.
You can not change anyone's opinion by refusing them a platform to express themselves. Or allowing engagement but employing a double standard where one side gets to be abusive but the other gets punished for the same behaviour.
If we look at the recent case of James Damore he was fired for his views. How many people at Google who support him are going to change there minds on the issue just because The management decided to take a side and silence any opposing views?