I would consider Bayonne to be a family oriented community. Lots of good schools, recreational parks and sports leages for the youngsters.
I was born and raised here and consider it a safe and friendly town. My mother has tought music and now pre-K for just under 30 years and I would consider her a warm and loving person and teacher.
The best way to answer this question though is to come hang out in town. Visit our new farmers market which is tuesdays from 2-7 on 22nd st and speak with the locals, Walk around the parks in day and evening time and just see what kind of vibe you get.
Hope this helped a little bit, If you have any other questions feel free to contact me.