Everybody does not have the right to be on the ballot...there are legal standards that must be met to qualify; in some states they are stringent, in other states they are loose, like in California, which is why the California recall was such a circus. There's nothing wrong with challenging a candidate's legal qualification to be on the ballot.
Everybody does not have the right to be on the ballot.
But everybody DOES have the right to vote!
NO COMPARISON!