OK, I've read through most of this thread, and after reading the story, it comes down to this:
The pax was not in the right, the GA was enforcing the rules. The pax had some sense of entitlement (DYKWIA?!) and thought he and his minor travelers were exempt from the rules.
Too many times, people tend to think they can simply override the rules by sending out a Tweet, hoping to catch the news or Reddit level of attention and let the public be the arbiter of the rules. This guy - if it was really that big of a deal - should have waited until he got home to send the tweet. Don't threaten the GA. Don't make a stink on the flight. Don't do something that could be labeled as crazy/unstable, because that's how you find yourself being deplaned.