I support your statement that for Republicans it's the process. I would simply qualify it with a "for a unclear percentage of Republicans" because within the Republican party lives white nationalists, Klan members, neo nazis and other racists who helped elect Trump as president. I used to think these couldn't represent more than 10% of the party, but after Trump, I think they represent more than 35%.
It's not easy to invite 50000 doctors and nurses, because the world is competing for them. Furthermore, those foreign doctors and nurses may not be recognized by the AMA and thus wouldn't be able to practice here.
What has made America great isn't Trump and his cohort of racists, it is it's open door policy, of taking in those persecuted in their home countries, those unable to be the best they can be because of various discriminations. Those were the people who founded the nation and it came out alright.
As I've written before, Republicans don't like brown people not because of their skin color, but because once established in America they generally vote Democratic. Republicans love Cubans and Venezuelans because those who come to America vote Republican.