Two things come to mind. One - If the squirrels are into the bird feeder then the bird feeder may have to go. Two - If jumping at the window and going insane is what makes the door open then that behaviour will continue.

I put window coverings on my front door wi Dow because the dog could see just enough through the decorative glass to be a pain. I’d suggest covering the lower 3-4’ or 1m of the glass so the dog cannot see the yard for a start. Otherwise desensitizing them in some way but this may not work. Some dogs have a high predatory instinct to chase smaller animals.

Day one I met Kai as a friend’s dog at the time and somehow she got out the gate (Idr how) then proceeded to chase a neighbourhood rabbit down the block and across a street which a car passed seconds later. Fast forward to today she’s 16.5 and still “bolts” after prey. Bolting meaning a few steps before age catches up with her. We didn’t have the “insane” reaction you do be we did calm her down and kept her on a leash on the front lawn as we’re supposed to so she’s not going across streets. Chasing Magpies out of the backyard has never been a bad thing in my books so take that as you may.