Until there is a "proper" responsive layout template that is included in stock UBBT, you could add a viewport meta tag to the header code. As is, stock UBBT already scales on multiple screen sizes quite well, as is.

More information:
https://developers.google.com/webmasters/smartphone-sites/

A nice tool from Google to check your site's multi-screen performance:
http://developers.google.com/speed/pagespeed/insights/

EDIT: To add some links.


Current developer of UBB.threads PHP Forum Software
Current Release: UBBT 7.7.5 // Preview: UBBT 8.0.0
isaac @ id242.com // my forum @ CelicaHobby.com