Most home robberies occur when the occupant is not home. People who just want some cash or stuff do not want to risk a confrontation. If a person breaks in with you home you MUST assume they are out to do physical harm to you.
Great idea! My kids can fend for themselves!
But that's not realistic so you have to figure out who he is and what he wants from his actions starting with the 2am kicking down of your door. Guess wrong and he might be a drugged out rapist instead.
Really, if he's not yelling 'Fireman!' (And didn't arrive in a special truck) he's not kicking down your door to help. Some of the things that may be done to you may only (mostly) involve your things, or only hurt you not kill you, and people can give you a big song and dance about laws and morality - but don't YOU want to choose prison over death for yourself, if those really are your only two options?
I'm with you, partly. No need to fight this guy to be a hero. For your additional safety, hide in bathtub, sound a siren, and get help - while holding the shotgun you will use to kill him and his accomplices if they try to open your hiding spot before help arrives.
Martial arts teach you confidence and self control, this is what will be useful. One of the first thing you learn when you're taught self-defense is that if someone asks for your wallet with a blade, you give the wallet. You use self defense only as a last resort.
If someone is inside your house just lock yourself in the bathroom, head low in the bathtub, and call the police. Maybe do some noise to scare the thief, or say out lout "get out, I'm calling the police". In this situation, if you have any sort of weapon, yes, take that with you as a last resort.
Shotgun negotiation? Who are you kidding? If you take out a weapon, you must be ready to use it. Are you ready to shoot? Can you live the rest of your life with the death of someone? Are you even trained for that kind of situations? Probable outcomes: injury, prison or death. For you.