Let me clarify a few things for you with regards to stand your ground (in fl)
-A person has a right to intervene when a forcible felony is taking place. Example: Jim walks into the convenient store and its being robbed by a gunman. Jim pulls, and kills the robber. He is a hero. But that is NOT under the umbrella of 'stand your ground'. That is a lawful gun owner acting as a Good Samaritan and protecting himself- or on this case- another person from being the victim of a forcible felony.
Had you shot someone, you would not have a jury determine whether or not you stood your ground. That is determined by a state attorney who decides whether you should or should not be charged. Then, if charges are filed, your lawyer gets a hearing to request dismissal based on SYG.
You get arrested, get charged, and the judge denies your motion to dismiss- the jury can find you not guilty, on account of self defense- but at that point the SYG get out of jail free card is invalid.
In my opinion- had your situation unfolded, you would not have SYG to lean on. You may not have been arrested, but if you were, you would NOT be protected by SYG.
And where I come from in Florida you wouldn't have even had the sympathy of the cops- we encouraged people to spank their kids. I told at least a dozen parents that they wouldn't be picking their kid up from the police station- or having their kid openly disrespect them- if they laid a hand on them every now and then.
Remember that you're in Florida- it's legal to hit your kids. You're probably lucky things didn't escalate further, as I think that guy would've been seen as the victim and you the aggressor. If I was the responding officer, you'd probably be going for a ride.
Of course, if the guy is beating te ever-loving shit out of the kid, that's not discipline, it's abuse and battery. Whole different story
Just my .02