I am using Mochi with various content and have accumulated a fairly large number of templates; however, I mostly use a few and would like them to be at the top of my list. Is this possible?

I couldn't find a way to reorder the template list. There's no sort or search.

What helped me is setting a default template on each deck, so I almost never open that list. Open the deck, click Add Template at the top and pick the one you use there.

Also, If you imported Anki decks, each import adds its own template, so you can end up with several identical ones, like Basic - Card 1 three times. In the deck's template dialog there's Switch all cards to this template, which moves the whole deck onto one of them.