Using the adaptive part feature might work. If you dimension only what you don't want to change like the diameter and such and then right click on the part in the assembly and choose adaptive before constraining your part it should work out. Could you possibly post your part files?
If the parts are coplanar, you should be able to use an axial mate to align the two components. Is this what you are looking to accomplish. Hope this helps and have a most blessed night!