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No, that tramples on the right to free association. If I run a website or business, I do not want to promote any speech from people espousing fascisty views.
We have a right not to associate with others based on their speech.
Free speech just means the government won't punish you directly. The rest of us are not required to listen or allow you to use our platforms to speak.
Typo: freedom of speech is explicitly, not implicitly, a constitutional right >

It is explicitly related to the government censoring speech, particularly political speech. It has no bearing on private restrictions of speech. 
I have no right to go into your church or business and start yelling about anything.   
The issue with social media is determining if they are the new ‘public square’ or news media or and advertising company or a private club… >

We need to foster a culture of greater free speech such that private organizations like social media platforms are not pressured to censor unpopular opinions.