I'm going to ignore my neighbors
What is your reason for wanting to ignore your neighbors?
I heard that my neighbors were gossiping about me and my family.
It's understandable to be upset about your neighbors gossiping about you, so it's fine for you to ignore them. It isn't necessary to be friends with your neighbors, but you also shouldn't be rude to them.
I want to punish my neighbors and make them feel miserable. It'll be funny.
You do not have to spend time with your neighbors if you do not want to. Do not go about trying to punish them, just let them be and there will be no issues.