If you get half the money for the motorcycle, that would be up to $1900. Don't forget to ask the insurance agent how much of your annual premium goes toward the car you sell and the motorcycle. Those are direct savings also.
You could do what I did initially to keep my motivation up. If you ride 28 miles, that is a firm $3 a day in savings on gasoline. Every day when you get home, put three dollar coins in to a jar. After a year show her those 720 dollar coins.
There are other savings that you can't see but that are there. Those would be on repairs you don't have to make on a car you don't have.
I would think you have some serious moral leverage. You are recovering a nice chunk of money with the sale of the vehicles, and making a non-trivial savings on an on-going basis. A high-quality tool for that job does not seem out of line (although I myself couldn't get that appoved easily either).
When I started, I rode my old bike for the first year just to show myself and my spousal unit that I was serious. Then I bought a new bike (nothing so fancy) as a birthday present.