Here's a possibility for what the logo might look like if we went with the more accurate name "Tardis Information System":
This is a really rough mock up, more or less done to test the tremendous expansion in number of letters from the current Very Odd Name.
In actual implementation, though, I think we'd have to go with a two part logo. This would be the actual wordmark:
Then, we'd get rid of the Gallifreyan script background and replace it with a background that had the words "Information System". That way, everything would be much clearer.