It should be possible to reorder how layouts appear when a user or agent is in the system choosing a layout for a ticket. Currently (and before I realized it), you cannot reorder layouts once they are created, so whatever order you generated them in is how they appear in the Layout field dropdown when submitting a ticket.

This is something I'd expect to be a base capability of the system. Below is an example of my current ticket layouts, and how they appear in the dropdown:

It's great that you can search, but if a client doesn't know what exists, or is hoping for some alphabetization, it makes it harder for them to go through all the options.