Then he'd probably look a bit like these renditions by TanBurn. The two above are, of course, Link in the style of South Park and Link in the style of The Simpsons.
To be fair, Link has appeared in a couple of the following TV shows — The Powerpuff Girls, for example. Still, it's neat to see Link in all these different styles. And, oh, hey: the artist is taking requests, if the suggestions get enough upvotes.
The Powerpuff Girls
King of the Hill
If Link Was In... [TanBurn]