If it is still that hot, it may be too hot to use unless highly diluted for potting soil.

Mix that manure with your leaves and you'll have compost in monthes instead of years

Since I've been composting and making leaf mold since the 1970's and read and reread Sir Albert Howard I figured out that by creating and turning a hot pile the N is saved and weed seeds and pathogens are destroyed. I six weeks I can use this for a seed mix if I so choose.

As for leaves in a pile; I would never do that. Leaves are fermented. Manures and forbs are composted. If I wanted to plug up and slow or stop my hot compost I would put a bunch of leaves in with the manure. When is the last name horses and cattle have dropped their manure in leaf piles...they do not live and eat in the forest.