Here's how the DW and I handle kids near us.
We quietly ask the parents if we could share some ice cream with their kids. They almost always say yes. The kids get some ice cream from the old folks in the next campsite, and we get to meet some good people. It works out well for us.
Last month, we were camped next to a family with four boys ranging from 6-12. They were very curious about my satellite dish. So I took the time to show them and their parents how it works. They were fascinated. They were very smart young people and had a good grasp on the technology. They asked great questions and were fun to talk to. Then, I found out the dad was a Marine Corps Colonel, and he was moving the family to their next duty station. Great people.
So if folks just want to ignore the kids and they are missing out on some good conversation and possibly making some friends with the parents. If children have positive experiences with other campers while they are young, there'll be a good chance they might become the campers of the future.