There's a good chance you will be arrested if you have a warrant and you go to the DMV. When they run your information, they will see that you have a warrant. They have officers there for such an occasion, and it happens frequently.
Look don't do it!!! I use to work for the courts in a suburb outside Memphis, Tn. We handled all the cases whether they were traffic or criminal etc... A warrant is a warrant, you have a bench warrant more then likely, that is a warrant that kinda just sits there until something happens ex. applying for ID, you get stopped while in a vehicle, being at the wrong place at the wrong time. I think you get the jest of what I am saying, save some money and go turn yourself in and clear this up so it doesn't haunt you anymore... Good luck!