Going through divorce, please help me, any idea of value?

No fault is a good deal. If she contributed nothing; get nothing. Fl here.
If car and bike bought by you-yours. House, etc different.(if she worked).Child support, yes, but lawyer it down. Keep the car, get an appraisal (in this economy?; make it look like ****, non-running) submit that appraisal to court. Let her and lawyer pay for new one. Lawyers don't know crap about old cars, and won't want to spend his dime on getting another appraisal, which still can be argued.
Sorry about your situation.
My first wife, I totaled her 67 GTO, titled over my 70 Duster. Re-married her, divorce again, she gave it back, thinking it was worth about $750.
Car worth more, as your kids can ride in it. Calm down and think it through slow. Especially the paperwork, ans is she being un-reasonable; according to the state law, and what the judge can order.