Wobble is usually due to lack of structure and cross bracing. It's hard to explain without going into 3 pages of text or 10 diagrams to illustrate but, if your design does not account for anything bracing the the right and left sides to the front and back panels, you'll get a right to left wobble in the cab. Like a rhombus (remember high school geometry?) effect? Follow me? I didn't have a 2x2, 2x4 frame or any of the metal L brackets (well there are some of those in a weak spot in control panel box) in my cab but I was certain to design in many braces and to get them very tight when gluing and bradding the panels together and I have ZERO wobble.
Now, if we are talking about the wobble you will encounter from having the cab sitting on high pile carpet and padding such as you would find in the average living room, that has nothing to do with the design or construction of the cab. You're going to see that pretty much no matter what you do. Leveling feet can help it but probably will not eliminate it completely. Best thing to do is to make sure you design allows for the weight of the cab to be centered so it does not want to lean in any direction and then get used to the little sway it will have.
My 2 cents.
Bumble