It looks great as-is!
Yeah, I agree that it might be easiest to direct readers to the battle and matchmaking pages for the UI there. As long as we're explaining the UI, the pages on the wiki currently leave a gap: the Proving Grounds UI…maybe we should eventually add a section to the "Units" page explaining it?
Wikidot's page and file managers are pretty primitive, so we'll have to move each file separately. Similarly, the source of the scratch page needs to be copied over. You can either "Edit" and then select all the text in that box, or click the "Source" tab and select it all. You probably noticed that the files have "move" links next to them, so at least you won't have to download and re-upload them (which is what I've always done because I didn't notice that link :) ).
There is a somewhat faster alternative: deleting the current Strand page and then using "rename" (at the bottom) to move the scratch page over. However, that seems to be contrary to the wiki way (keeping documentation of changes and so forth), so I think we ought to use the slower route.
Regarding templating and other Wikidot stuff…
If you look at the source of the default template (which governs the start page, battle, strand, etc. … pretty much everything but units and scratch, which have their own templates), you may get an idea of how it works.
Most of the stuff there is in place to automatically put the "translate this page" business in place. I copied those pages over from James Kanjo's work; and, yeah, I found it very very confusing, too. :)
The [[iftags +tag_name]] .. [[/iftags]] things just give special treatment to certain pages, to which I've added tags. (You can add tags to any page, see options along the bottom.) The reason I have to do it this way — through the template, instead of directly on those pages — is that the translate thing grabs each page's content with Wikidot's ListPages module and ListPages modules cannot be nested. (That is, if the page's content had a ListPages in it and we tried to put the translate stuff around it, things would visibly break in the resulting page.)
I think the underscore is used in many different ways (to hide pages from being listed by ListPages, to hide tags from being listed by TagCloud), but the relevant one here is that it makes *special* hidden pages when the name "_template" is used
I don't mind explaining it; it took me ages to figure it out. ;)
EDIT: Oh, forgot to mention that you are now an admin, which should allow you to edit template pages, if you couldn't already. You can also use the "site manager". Look for a new "admin" box on the left sidebar. Note that if you add another admin later, you'll have to manually add them to the side bar.