Ah yes, good ol’ element unnil^{54}ium, a proton star. That would make a great “Things I Won’t Work With” entry for Derek Lowe.
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.