So far, this Court has been strongly on the side of free speech. Apart from student free speech, I can't really recall a major case where free speech claims have lost. I'd expect a strong but not unanimous vote striking down said laws. (This current Supreme Court isn't easy to predict yet. It was definitely easier before Scalia died.) As others have said, I think Alito would uphold said laws and possibly Breyer (although he could have some strange concurrence or some concur/dissent). Kagan, Sotomayor, Roberts, and Gorsuch would probably be the most likely to strike down. I'd guess Kavanaugh would join them and I could see Thomas joining as well. Justice Thomas mostly views free speech rights as not extending to minors, but otherwise tends to uphold most free speech cases.
I would hope they uphold them. Free speech isn't an absolute right in all possible contexts and this is one where permitting it undermines the ability to conduct free elections.
I have a feeling I know what you mean, but could you elaborate on that point?