Wheelie Bars
OK, now that I've seen the videos and know what you're using I'm going to offer some suggestions, some will be easier and cheaper than others.
The first thing I see is the car is too high in the back. You need to raise the front spring eye up into the frame more, even some blocks between the axle and the springs will help just keep about a 5* nose down pinion angle. BTW what is the angle now?
Secondly, raise the front end some and then limit the suspension travel to an inch or so. This you will have to experiment with.
Good adjustable shocks will really help here too. The QA1 12 ways are very good. Again you'll need to experiment.
Wheelie bars do not work well with SS springs. You could also go to the CalTrac full set up so you can get a spring with the arch you need to get the rear down plus the adjustability will allow you to calm the car down.
And finally you or the driver seems to be a bit scared to carry the wheelstand out. When ever my car is in the air I never let out of it unless it's going to hit the wall or the tree or the car in the next lane. Ride it out or shift it but stay in it unless you are going to crash. Look to your left to see where the car is pointed.