Re: Like to see them try...
The requirement for a warrant applies only to the government.
If you go to your neighbor's house, they most certainly have a right to kick you out, even if it's for the wrong reason. If they call the cops, you can protest against a police search. You still can't come back to their house unless they want you there.
If you believe that your neighbor has done you harm by kicking you out of their house, you can take them to court. They'll win, of course, but you do have that whole "due process" thing still. You'll get a fair trial before you lose.