Are there any electrons inside the sun / a star? Like the question says, are there electrons inside an active star, or has all the matter been so thoroughly ionized / plasmarized that the electrons are long gone? I ask because it would make sense when thinking about the magnetic field of a star; naked protons (neutrons are of no magnetic concern) would create a very one-way magnetic effect when circling inside the star, while protons + electrons would seem to counteract one another, magnetically.

Come to think of it, I guess the same question could be asked for the Earth's liquid core, considering its temperatures...?
Plasma consists of ionised particles. The electrons are not bound to their nuclei and are free to move around within the star. 

However, they are not free to leave the star. Without the electrons to maintain a neutral charge, there would be massive electrical repulsion from all the positive protons and helium nuclei, the result would probably be something like the formation of a black hole larger than the observable universe... The "What if", blog considered something like this in Proton Earth, electron moon and concluded that it would be one of very few things that could actually destroy the universe.

In conclusion, the sun contains about $10^{57}$ electrons. One for every proton.