I appreciate the enthusiasm and you asked in a civil tone so I'm going to answer the same way knowing ahead of time you won't like it.
No.
It's an active crime in progress, crime scene, and it's a crime of the worst order...homicide.
You absolutely do NOT have the right to go charging in on your own. Nor should you. Recognize your own limitations in a situation like that.
You aren't thinking clearly, period. Unless you have MIL/LE experience you don't know WTF you're doing.
You're likely to get yourself shot if you get in there and some tac team of cops sees you working your way down the halls with a gun.
That qualified immunity thing people dislike about Cops so much? It's only a bad thing when Cops are abusing their power.
It protects them from frivolous law suits if they're following the law and policy and despite their best efforts, shit goes bad anyway.
You as a citizen don't have it. You go charging in there, maybe you even save your own kid. Same scenario right... in the process of kicking in the door and saving your kid and 10 others he shoots two before you get him.
Hold on and buckle up because those two sets of parents of the dead kids aren't gonna give a FUCK what your intentions were and neither will every scumbag $1000/hr attorney offering to represent them for free just to get the publicity.
That's just the civil side. You could be charged criminally for interfering with the active police operation. Heaven help you if you get a couple cops killed they'll come after you like nobody's business. They could charge you in the deaths of the kids and try to hold you responsible. Politicians don't wanna get blamed and you best believe they all look for a scapegoat after something like this, don't give 'em one.
Not saying any of it is right or I agree or that it's what I think should happen, but it's some of what COULD happen.
If it was a mall or something and my wife or kid was inside as much as I'd want to be part of it I'd leave it to other guys on my team, department, the other jurisdiction, whatever.
My abilities are beyond compromised when it's my loved ones on the line. When I don't have a loved one inside I can think cooly and calmly about how best to get the innocents out and turn the bad guys face into mashed potatoes.
Recognize your own limitations in a scenario like that.