There are (at least) two ways:
1. Set up your views to order the columns in the order you want to see them in the Tagging Window. Then, in the Tagging Window, choose "show tags in current view".
2. Use the Experimental Tag Action Window (ETAW). Highlight some files to tag. Press and hold SHIFT and select Edit > Tag . You'll see the ETAW, which is user configurable by type. You can add, remove, change categories and orders. To change back to the regular TAW, hold shift again and Edit > Tag .
Brian.