Not to mention the fact that there are over 11 million year-round vacant properties in the US, 6.7 million of which are simply held off the market, and 3.1 million are for rent, but not receiving any tenants year round (a tactic often used to artificially keep rents high for surrounding properties)

There's also an additional 3.5 million homes that are "seasonal" properties, (i.e. vacation homes) that are still perfectly good for housing human beings, but are only actually used for part of the year.

There are an estimated 662,000 unhoused people in the United States, (Including those already in temporary shelters) so only a fraction of the available empty housing would completely house every homeless person in the United States.

The problem isn't a made up "crisis" from immigrants, it's a lack of care for other human beings that drives landlords, property investors, and multi-home owning individuals to hoard housing that people need to survive.