Welcome to NICO, and im sorry about your misfortune.....
Anyway, you transmission is shot...... No chance of revival for this baby.....
Best bet is to get a factory reman from Joe at scottsdale...
http://www.infinitipartsusa.com ........ The Qs trannys are around 1800 (with core exchange), and I would assume the J is about the same......
Have a local shop put the new one in, maybe like 4-6hrs of labor.....
Spending the 2200 or so on a new transmission is much better than spending quite a bit more on a new car, plus taking the hit on not getting hardly anything from the J.....
Since your planning on getting a new transmission, you could try to get it to engage by revving the engine and putting it gear.... whats the worst that can happen, ruin the transmission?? Just dont go too high, or it might go too high and then mess up the diff.......