I'm thinking of stealing my neighbor's dog and putting it in another neighbor's yard that I hate and anonymously calling the cops and reporting it stolen. The neighbor is on probation and might have to go back to jail then.
Why would you set up someone to get arrested?
I'm tired of  this guy always making alot of noise next door at night.
It's understandable you want your sleep at night, but trying to set someone up to go back to prison after they already served their sentence is immoral. No one should be punished like that due to simply making too much noise.
I guess it's not a good idea, but I am still annoyed with him.
You can still be annoyed with your neighbor, but stealing a dog and setting up your neighbor with a fake crime is the wrong way to handle things. Just go talk to your neighbor.