weird rear end movement that i can't figure out

i have this problem with my car. when i am driving and i am sitting at like 3k rpms and then i get on it, it feels like my rear end or something starts shifting and the back of the car starts to like move towards the left. it is a wierd feeling.
i was thinking that maybe one of my torqueboxes or something is cracked and it is flexing when i get on it? causing my rear end to shift? but it does not do it when i launch the car. i really have no idea. any one have any ideas on what this could be.
 
I actually have this issue with my SSM bars from the stock uppers. The SSM bars are much stiffer and make the stock uppers the obvious weak link and I get a movement. I have trq boxes so I know its not them.

Its the fact all the flex and movement gets dumped on the way overworked stock uppers.

I have been kicking around the idea of selling the ssm bars for the UPR upper and lowers that are 219 or so. Or getting a nice upper at least if I do keep them.
 
I took off my stockers and found the actuall rubber was toast. It was soft from all the abuse. I used my buddies stockers off his old 2000gt that he got macs (suck btw) uppers with only 3-4k on his. It fixed the issue for a few days then it beat the hell outa those. I would look for an aftermarket upper with engergy susp. bushings or the like, I have looked for just the bushings for the uppers and they cost almost as much as an ebay upper with good bushings.