It's kind of pointless talking about Wine in a broad sense, given that if Ubuntu or Mint (a logical extension) can be implemented successfully on a touch tablet, then that introduces a game changer. Wine has a lot of failings, even though many crow about how good it is (that sound familiar?), but if you can live with native Linux apps (given further development, the incentive would be there), then it could become the fourth competitor in the tablet, et al, arena.
You would have a fairly competent desktop environment to begin with and the potential for much more. However, what Linux needs is a major investment. What Canonical is doing is not enough, despite all of its good intentions. But if Microsoft continues in the direction that it appears, then one of the major concerns, like Samsung (Nokia?) or such, may take a very big interest and boost things significantly. When you think about it, everything is already there, but it simply doesn't have a major supporter. There's an opportunity to own a space that has been traditionally overlooked.