The strategy for many folks will likely be to wait it out until the next administration when hopefully some amount of sanity returns.
The question buried in much of the detail: there is an indication this doesn't apply for H1B's and similar who work in the national interest or provide economic benefit (presumably substantial). Perhaps this allows an opening for at least some people.
Perhaps the people initiating this -- that is to say, almost universally either immigrants or the descendants of immigrants to the US -- would prefer something like the following version:
With silent lips. "Keep your poor, your tired, your teeming masses, too!
We’ve rewritten the laws, reframed the view,
To raise a middle finger straight at you.
Send your huddled refuse back to your own shore,
I lift my lamp beside the dead-bolted door!"