This one is easy to fix. Put the body back on your heli and the problem will go away

I tried to fly my CX2 with the body off and it did exactly what you are talking about. I think the shaking side to side has something to do with the gyro trying to hold a direction and when it trys to make a slight change it goes to far because of lack of wind resistance because the body is not installed. Anybody with a CX2 should be able to replicate the problem. Just take the body off your heli and try to fly it