We met three Mountain Trek crews on our trek, two female and one male.
For some Mountain Trek participants, it is their first time backpacking. About half of one of the female crews were wearing jeans, a total no-no for a backpacker with any experience.
If you can bring the basics, the trek will be better: a pack that fits, shoes or boots that fit (trail runners are fine for Philmont), good raingear. If you can bring a tent that is lighter than the Philtent, it could be worth it.
Each Mountain Trek crew has two rangers. The female Mountain Trek rangers I talked with were really great.
Unlike a regular trek the rangers will carry a lot of the crew gear. They also tend to stop at staffed camps. At Apache Springs, I think one crew slept in the teepee and ate breakfast at the main cabin.
I would trim down the regular Philmont packing list by eliminating duplicates, like the two pair of shorts and two pair of short sleeve shirts. I wore zip off pants and a long-sleeve shirt the whole trek.