He then asked if I was willing to shoot someone over my xbox.
I told him, "The xbox was besides the point. We are talking about a person intruding into my house at night with my family present. Hell yes, I'd shoot him. It's the principle of the thing. I'd shoot a hole in my xbox without blinking to do it."
Their families can though, and they do.
Yes, ending the threat is the goal.
No self defense course I know of teaches anything like this. The law enforcement academy I graduated from didn't teach anything like this. You shoot to end the threat, period. If you go ham reloading and pumping dozens of rounds into a guy laying on the ground the DA is going to have a field day. I'd love to know the self defense source you are getting this advice from.