doubtful, unless you have a md/PHD or some kind of stem background, "academic refugees"

Although it would be extremely funny there's very little reason for any other countries to actually do that. Although if you have a degree in a relevant science area you might be accepted.

Perhaps you could pretend to be in a relationship with someone from a host country, a reverse green card plot.

The right are hard right and the left are fairly hard right.

The US doesn't have anything even approaching centre right, let alone left.

The lack of a proper left is why most Americans can't tell the difference between communism and socialism.