I've got the very same problem here! In my case it is independent from my rocket.
While in Space, SAS is turned off. Those little indicators on the lower left side wiggle a bit without me pushing any buttons. If I turn SAS on, everything is fine. If I choose the Maneuver Node at the Direction Selector, the ship will roughly point in the right direction, but will spin a bit and will not directly point at the node.
First, I thought it was a problem with my trimming. So, I turn off SAS and ALT-X ... which cause my roll indicator to switch to max roll. (And my ship will start to roll uncontrollably) Turning on SAS again will stabilize it. I could trim it then manually using ALT+q (or +e), but Alt-X will set the roll again to the max.
Any advice?