Why do the anti Biden Trump right wing want people to be evicted from thier homes

Have you ever owned property? I'm guessing not. Part of the terms of a rental agreement is that the renter can be evicted for certain things including nonpayment. Property owners usually pay a great deal for the upkeep and maintenance of rental properties. No one has the right to stay forever on my property.
The eviction moratorium is unconstitutional. I'm guessing you failed Civics, because Congress passes laws, not the President. Much celebrated "executive orders" are only supposed to direct executive department agencies how to carry out laws passed by Congress.
And in case you're wondering, the Supreme Court has already ruled the Biden Administration's actions unconstitutional. They're simply ignoring the Court, like another Democrat, Andrew Jackson, did in the 1830s. "They've made their ruling, now let them enforce it," snarled Jackson. What an affront to constitutional government.