Correct me if I'm wrong, but aren't nuclear-density collapsed matter stars exclusively zero-net-charge neutron stars? I suppose you could instantiate an "oops all protons" neutron star with a charge of 10^54 coulombs in Universe Sandbox, but I struggle to imagine how that would come to or continue to exist physically.

More importantly, I think that the Coulomb's Law repulsion effect would more than cancel out the gravitational attraction effect - both laws work as Force = (constant x particle1 x particle2) / distance^2, and the electromagnetic force is much, much stronger than gravity at all distances.

Look I never said it was a good idea.

I think it would stabilize via a combination of electron capture and positron emission converting most of the protons into neutrons.

xkcd what if covered it: https://what-if.xkcd.com/140/

The "desktop particle accelerator" is excellent. I wondered what?? Clicked on the link and then yes indeed didn't think of it :-) Love xkcd and his what-ifs.

They started out desktop sized!

https://en.m.wikipedia.org/wiki/Betatron