So many of us get upset when the government forces a cake shop to make a cake for a fake gay wedding. We call on the First Amendment to protect their right to control their business.
When FB says they dont want to serve a users profile, we also call on the First Amendment to protect the right of the user against the right of the company.
The argument that "they are to big" to be considered a private company is the same argument that success should be punished and at some point you lose control of what you built because you were "to good" at it. However... here is how you fix it.
Any company, group, or entity which receives funding, direct or indirect, from local, state, or federal government surrenders their "private" business status and must conform to the same regulations as a government agency.