Followed by SSS: Shoot, Shovel, Shut up.
These people are thieves and trespassers on private property. After one warning all bets are off especially if they initiate threats or violence.
I don’t think I would give them any type of warning. Legally it might acknowledge something I don’t want to be on record acknowledging. First step, and without calling any cops, is that I would gain entry, breaking in if I had to, maybe when the squatters were out of the house, maybe not. I can hardly be prosecuted for breaking into my own house. At that point I am in my own house and the Castle doctrine allows me to shoot intruders (the squatters). I would try to march them out at gunpoint, immediately, but I would shoot if necessary. As long as my claim of ownership is upheld, then I don’t think I can be charged with anything, even if I have to shoot them.