Not really sure if there is a way or not.
But what I would do is to save your current table as an excel document (which you should be able to if you select the top left corner of the table and pick "Save As..).
Then I would delete it, and insert your new table template. Then copy/paste as needed to fill in the new table.
I know that this isn't what you wanted, but I simply don't know a way.
If you select the Rev Table, and get tab edit menu to come up, the second icon from the right will put the header to the bottom. You can drag lines to re-order them. If you have setup the template with an anchor you can alter the anchor corner from the property manager on the left.
If you have the template setup with fonts for tables (Document Properties>Tables) then select the left most icon in the rev table edit menu and the fonts will go to the document settings.
Dan and Bjorn,
Thank you for the replies. I had not tried the Excel workaround, but yes that isn't really what I wanted still. I might try some of the steps to edit the font, anchor, etc. I was aware of those settings and I kind of assumed that that would take just as long as re-doing the table but maybe I could still save some time with that if I really want to update the revision table.
If this is something you need to do regularly, you could try laying down the challenge to the API gurus to write you a macro to re-order and format the rev table.