They should do what they should have been doing for a long time when the Feds intrude beyond what the 10th Amendment allows for - use their Guard/Militia resources to make a stand and demand that the Feds bug out of their unconstitutional takeovers of State Rights.
If the 27 or so who say they don't want the refugees were to make such a stand, and either block them from coming to them or round them up as they cross boundaries, the Feds could either suck eggs or go to war with half the Nation - I would guess that they would end up at war with 75% or more of the Nation if they decided to go that route.
If Governors and Sheriffs don't take the lead, we may as well roll over now - I can't imagine a general uprising and am not sure it would turn out well with all the chaos - if elected officials don't take a stand, then the People have already lost.
How do you know they won’t do that?