I don't need the CMS for my forum (not yet), so I simply did this:
1. Edited
index.php in the forum root, commenting
require('content.php'); and uncommenting
require('forum.php');
2. Went to ACP->Plugins & Products->Manage Products and disabled the vBulletin CMS product.
Now the CMS disappeared, the button on the navbar too.
Hope it helps someone else with my same need. I'll tag this mod and see how it evolves.