I never shoot someone else's reloads, so I would use an inertial puller to disassemble the rounds, but that's your call.
As to the bullets themselves, Moly got a bad rap after people started trying to get around NECO's patent and put some low quality product on the market. I've never had a problem. I used it in a Garand that would not get through a match without fouling so badly the accuracy fell apart in the last stage of the match. Moly fixed that. Just don't go nuts and figure that means you never need to clean the bore. Clean after a session, same as with regular ammo.
Moly does deposit in the bore and in the case necks, so you may find it takes the barrel awhile to settle after you switch, and the cases may need ultrasonic cleaning. Your best bet is a very thorough cleaning after shooting it. The moly is usually mixed with carbon, so Gunzilla or another cleaner that is especially good on carbon removal will help. Someone actually has a separate cleaner just for moly bullets, but I've forgotten who. A couple or three patches pretty wet with Gunzilla, then allowed to sit overnight and followed by another the next day seems to take care of it.