His argument is the FCC will censor conservative sites because of net neutrality. Besides this article, please provide proof of that accusation. The FEC has basically said they can't do this, and yet the FCC is?
Theoretics are theoretic for a reason, it's still theory until it happens. You can't give proof of an expected behavior until after. What you give is evidence of similar actions. X does Y when we do A, and we expect it to do Z when we do B.
The IRS began using the rules to deny 501c4's to conservative groups in the wake of the Tea Party movement. Almost all of these otherwise routine applications were held up indefinitely despite Congressional hearings and admissions that there was no cause to do so.
Various companies run by conservatives have been harassed by law enforcement agencies, notably Gibson Guitars, which was raided multiple times, by tactical teams from Fish and Wildlife of all things, over legally imported wood that was supposedly in violation of the origin country's laws, despite their expressed support of the company as legally compliant. The seized goods were kept for years, and the cost to Gibson was in the millions, including a $250,000 fine for their non existent violation of foreign laws. Liberally minded competitors in non right to work states, importing the exact same wood, from the exact same countries, have never been bothered.
Your quote from Ann Ravel is itself evidence that this will happen if at all possible. The leader of the FEC has given up trying to abridge free speech and shut down legal entities, even though she thinks the laws give them the right to do so.