I'll tell you a difference between MC and AC cable that is often overlooked. Type AC provides mechanical protection; type MC does not.
As someone else said you can get AC with a ground, but I will add that you can AC with a ground that is not hospital grade as well as hospital grade.
Either wiring method used, better watch your connections as some are listed MC, some AC and some both or more.
I'm in agreement with another poster that leave one green long, bond your box and bring the EGC on to the splice or device.
I see a lot of installers only use single cable connectors instead of two cable connectors, which is more labor and greater box fill.
Another common error I find with MC cable is using the insulated green wire as a CCC; thus effectively leaving the cable without a low impedance ground fault return path.
To the OP, it is your license on the line as well as far as the lawyers and judges would be concerned should a problem arise. I f I was working for a friend and they told me not to use anti short bushings or to not bond the first box when transitioning from an existing wiring method to MC cable I would just do it anyway.