I can see it causing a whole other problem. The first line item, "Denial of platform access and normal use thereof" and it looks like the only lawful free speech social networks will be able to control is the posting of legal pornography. This won't give them the legal means to battle SPAM on their platforms. You have to consider that these same rules will apply to non-political content. The platforms will be cluttered with so much garbage that they'll be rendered unusable.
I still think the best option is to let the free market take care of this problem and keep government involvement out of it. Alternatives already exist for these social networks. Facebook vs. Minds. Twitter vs. Gab. Reddit vs. Voat. Let the people work this problem out themselves.