Do you think kids are private schools have better behavior?

So my child is entering kindergarten soon. We live in a public school district that's generally considered good. High SES area. Good state assessment results. We've heard generally some good things from parents whose kids go there, but also some shocking things.

Like for instance a student (in 2nd grade) who has been regularly swearing and yelling at teachers (in front of the whole class) for at least a year and nothing has improved. And other stories too. Physical aggression that's pretty shocking for elementary school, etc. Incidents that have scared kids and made them panic or run away (due to other student behavior). As I said, we hear positive things too.

This sounds like a possibly stressful situation for my child. Should I seek out a private or charter school to try to avoid this? I'm honestly not sure what to do but I don't want to traumatize my 5 year old. I went to public school as a child I don't recall anything remotely like the incidents I hear about.