Then by ALL MEANS....
"LOCK 'em UP" !! Perhaps you will note, my commentary (in response to RAP, re: "so much for private ballots") addressed the standard notion attributable to "private ballots" (the "Australian ballot").
You have determined to incorporate broader concept of "personal privacy", apparently evidenced by New York legislation. IF Melania &/or Ivanka had their rights (per that, or other applicable New York statute) violated by the discussed "disclosure" ? Have at it.
The fact remains that...conceptually..."private ballot" (aka, "Australian ballot") applies to the expression made (on the ballot), NOT to the exercise (or attempt to exercise). L.