Sure. Supporters do that. They support. For partisans, nothing you say will persuade them, so in electoral calculations, they're irrelevant. They are a background to be overcome. They aren't going away. Fourty percent or so of the people are going to vote Republican no matter what.
So how to appeal to the rest of them? When it comes to the core idea behind the proposal, which is that the US would be better off if we were very, very, careful about admitting people from Yemen, Syria, et. al, it's a really tough sell that this is a bad idea. Let's see. How is my life better if I have more Yemeni neighbors? Hmmm......I'm drawing a blank here, to be honest. I did have a Syrian coworker who was quite good at her job. That's a plus. And an Iraqi....but he was Chaldean, so Trump would let him in anyway. But, really, trying to say that there is no problem and that we should let them in if they want to come is just a losing argument.
So what's left? I think humanitarian grounds is about all there is. Even if you accept the idea that we ought to have tighter borders and let in fewer middle eastern Muslims, it's really hard to argue that it's a good idea to turn someone around who managed to scrape enough money together for a plane ticket and whose family was waiting at the airport, or that an infant who needs heart surgery is just collateral damage. The hard core Trump supporters will not merely accept that result, they will pat themselves on the back for making the tough choices necessary to protect Americans. However, for sane people, not many will be happy about needing to get a court order to keep a little girl alive.