Q u o t e: The installers won't run, but I copied the folder "Warcraft III" from the applications folder on my older Macbook running OSX 10.6 to my new MBA running 10.7 - and to my big surprise it actually runs!
The UI is almost black, and is missing some graphics when you're not in-game, but playing seems to work fine so far.
Same thing happens to me, but when I go in-game, my map for DotA goes completely black