If you want to attempt pulling both items at once, you will definitely need to remove the core support or front clip as a unit. I would advise doing each one separately. Most engine hoists have a hard time with just the motor. It is very easy to get unbalanced and tip over or move suddenly.
I first removed the transfer case, then the tranny, using a tranny jack. Then I pulled the motor out the front and over the core support last. That was a real chore due my lift kit, and the front clip is coming off when a new motor goes back in to make things easier!!!