Okay, I see what you did there...
And yes, you have the right to clear the public space of a-holes when your children are present.
You just need to be very tall and very intimidating.
But if you are those things, then you have that right.
If you are not those things, then the a-holes do not have to consider your concerns.
Great world we live in, yes?
I'm not very tall (5' 7.5"), but I can be pretty intimidating when I need to be. I just choose not to join the ranks of the a-holes by doing so.