Sorry, that’s not the order, at least the “alphabetically” part. I don’t know how badges within the colors are ordered on the user card.
If you go to the user’s badge page (for example: https://meta.discourse.org/u/codinghorror/badges), they are shown Bronze first, then Silver, then Gold (why is it backwards?), and alphabetically within each color. The Trust Level badges are not treated specially here.