Good luck with your lawyers, I'll keep my guns.
"The Supreme Court has also upheld the homeowners right to shoot home invaders..."
They would probably also uphold the rights of the other three cops to shoot the homeowner who defended his home...
You're right of course, you can shoot home invaders except in the Northeastern states where they're protected. Shootouts with the SWAT Ninjawarriors aren't usually real productive without sufficient backup. They'll kill you, your family, your pets and burn your house, then they'll tell the story any way they want to.