I got all the collectibles trophy last night. Just make sure you don't have any patch installed when going for the collectibles trophy. The only "glitch" i encountered was the Scavenger trophy unlocking when it was clear that I still need to pick up 2 FF medals. But I still went after that last 2 medals as i need the FF medal trophy.
Once i'm done with the survivor+ trophy that is the time i will install the patch to go after the MP trophies.