OK, here's my opinion. Take it for what it's worth.

I've been flying for about 17 years and I carry around a donated Nexstar as a club trainer. Plus I have flown several for students. The problems with the Nexstar are:
1. Too much right thrust on the engine. (As a couple guys above mentioned. Actually it's been mentioned several times before in previous threads)
2. Positive incidence on the horizontal stabilizer. (One of the other instuctors in my club noticed this just recently. I checked it with my incidence meter at home and he was right, there's about 3 degrees. (Positive incidence means the leading edge is higher than the trailing edge, making the surface rest at an 'upward angle' as compared to the wing.))
What happens (again IMO) is that as the throttle is increased at take-off, the horizontal stab makes the tail lift first, also lifting the main wheels up, and the plane starts to yaw or 'wobble' rolling primarily on the nose wheel. At the same time, the large right-thrust of the engine pulls the plane to the right. The more throttle, the more it pulls to the right. I have minimized this pull by simply NOT going to full throttle on the take-off roll, and just rolling a little longer on the runway to build up speed. And with a healthy amount of left rudder. Learned this technique by flying those dang tricky warbirds!
One of our students crashed the club's Nexstar [:@] and when I repair/rebuild it I'm going to try to put the horizontal stab at 0 degrees incidence and see how it flies then. I already have a couple washers behind the right side of the engine mount to back out the right thrust. That does help somewhat. I will report back how it flies after I try this out.[8D]