Think of three protons in a line, A-B-C. Proton B is repelled in both directions so experiences no net force.
Now think of 10^50 protons in a line. They're all experiencing net gravity towards the middle.
Now think of 10^50 protons in a line. They're all experiencing net gravity towards the middle.
With gravity, A is attracted inward, B is not attracted, C is attracted inward.
Of course, in practice, we don't know what the inside of a black hole is like, as quantum gravity is very much unsolved.
So the conclusion is any proton star would just explode? That's what I already thought.