Do I use bushings, or something elese with metal clad romex through drywall penetration,
It does indeed &quot;look off&quot; because you don't simply run the MC or MC-lite cable through the box. You need appropriate clamps, and the clamps need the jacket cut on the armored cable, and then you have wire nuts in the junction box (because you also have to cut the wires to get the clamps in place.)
Armored cable is fine in drywall - indeed, it's superior to NM cable, and required in many/most commercial occupancies if not using conduit.