Jay, Carl is just jealous, plus he is right.

Anyway,
if there are no missing parts, then either you have the wrong parts, or assembled wrong or missing/not correct thickness shims/thrust washers. That's all!

Now, "spider gears move a little before engage" First, a little is OK but I don't know what your "little" is. If it's big, that is probably spacers/washers/shims. The gears need to be closer together possibly. I believe the way to do that is spacing all four gears towards the center of the cage while keeping the bevel gear sets meshed properly. If you follow the manual/dimensions link given in this thread, you should be OK. You seem to have the pinion/ring mesh figured. Second: If they, in fact, do engage eventually, why do they not turn the axle? What happens AFTER engagement? What keeps the system,
that you now know how it works, from rotating the tire/axle? You are the only one who can see/study this, we can't. Third: I don't know if your torque tube movement is fore and aft or rotational? I don't know anything about torque tube anyway. I am brave in some areas but not when it comes to differential set up. It looks like a: too many press and unpress, fit different shims, measure and white grease all over me thing.... and if I had an AD I would change to non torque tube in a New York minute.