Your actions were appropriate for the situation and surroundings. Next time you have a meet, I would discuss the incident with the other father away from the group. I would end that with a calm warning explaining that if it occurred again, a police report would be filed and a protection order would be issued.
That way he would have to explain to his daughter that his actions now prevent them from attending further events with her friends.
That way he would have to explain to his daughter that his actions now prevent them from attending further events with her friends.