So what are the odds of the supreme court going against this ban? I think Sotomayor, Kagan, Ginsburg, and Breyer will vote against it. But will Kennedy swing to their side, or vote his party line?
Keep in mind that it'll be a while before any case on this matter reaches the Supreme Court. These rulings have been on whether the plaintiffs are likely to succeed once the case is fully heard, not a ruling on the matter itself. The judges have found that the plaintiffs are likely to succeed, and so have stayed the ban.
If the Ninth Circuit rules on the merits and strikes down the ban, and the government appeals to the Supreme Court, then, should Gorsuch not have been confirmed, and assuming no other changes to the composition of the Court, a 4-4 Court would leave the Ninth Circuit's decision in effect. It's even possible, although unlikely, that the Court could deny certiorari.