Damon,
Use the method to display a tag as a tag pill such as
{{$:/tags/ViewTemplate||$:/core/ui/TagTemplate}}
Now click on the pill, there will be an ordered list of the items using the Tag $:/tags/ViewTemplate
You can click and drag items in the list into the order you want
This will update the list field in $:/tags/ViewTemplate
The following will list all system tags with the $:/ Prefix, and relies on the changing currentTiddler to display a tag pill for each, for which you can change the order
<$list filter="[is[system]prefix[$:/tags/]]">
{{||$:/core/ui/TagTemplate}}<br>
</$list>
Regards
Tony