“The Plaintiffs are likely to succeed on the merits in establishing that the Government has used its power to silence the opposition…. It is quite telling that each example or category of suppressed speech was conservative in nature…. [T]he evidence produced thus far depicts an almost dystopian scenario.”
Bad example. The cases where businesses could refuse service to a customer were due to religious freedoms guaranteed by the Constitution. Not liking Trump would not fall under that category. Not sure about the other example though.
In general though, I think this would be fine. As long as this business is not funded or supported by taxpayer money.