OK - tough one for me to explain but I'll do my best:

• Joomla site
• Home page is a freaky sort of 'landing page' for 2 sites (in 5 languages)
• Visitors have the choice to either continue within the current site (domain), or click a link to a new site (different top-level domain).

The weird thing is: both domains are tied into the same Joomla back-end and (I think) there is way too much interlinking going on between the two domains. Although it's only two domains - it looks like a mini link farm to me...

I still have to decipher how they are tying both domains into one Joomla (meeting web guy tomorrow) but my initial reaction is: get these two sites away from each other...

Do I need to increase my medication or what??

Well........its tough to say without seeing that site.

Have you a link for the website in question?