well if things are moving around then you have to find the moving part. Process of elimination. you have only a few parts that move
1. Primary mirror is a floating type. is it staying in place
-Take it out leave all the clips on, being careful hold it up so the mirror is vertical. does it move? Yes. use silcone to help secure it. be ware of the mirror clips as they can induce astigmatisim if clipped down.
2. The spidervane/secondary holder.
-Pull it apart look at it does the mirror move? is the double sided tape holding the mirror firmly? is the spider holding the secondary stalk firmly? is the spider attached to the OTA firmly?
3. the primary mirror collimation springs.
-hold the ota mirror and all watch the primary. does it move?
if yes, then your mirror or mirror cell has flop, bigger springs better collimation screws are needed.
if that still doesn't fix it... well you know what to do

get a better focuser (you should anyhow makes life easier feather touch or moonlite)
4. Focuser.
-by nature this thing moves around, it is a standard piece of kit that "works" but measureably not so good. with your cheshire in, rack it in and out see if moves the image at all? if it does.? adjust the focuser from underneith where the focus lock is youll see a small panel with four hex heads plus 1 in the middle like the number 5 side of a dice, the middle one is the tension applied by the focusing wheels to the draw tube.
It has to be one of those, there is nothing else. Start at one and move on though till you find the culprit.