I get what you're saying, but that's a stretch. The power to speak some words and time slows down/your feet stop making noise. How is that not magic? Under any definition that is magic.
Yes, well, there are spells that do that in other games. But I like how Bethesda is doing it, because for we have seen they are effects useful not only for mages, but for all kind of characters (teleport behind you enemy and that). I'm pretty excited about it.
If they overhauled the magic system, then they could have easily expanded it to include the effects of Dragon Shouts, rather than simplifying it, which they almost certainly have done.
I mean the Shouts could turn out to be awesome, but at this point do we even really know what Dragon Shouts do? We only have a vague notion and I just don't see how Dragons necessitate these shouts.
Yes, they could have. But as I have said, I see Dragonshouts having a slightly different purpose. They are for every character, not only for mages. And I like that about being Dragonborn... you now, in Morowind you were the reincarnation of Nerevar, the most badass Chimer ever, but you didn't feel like a mythical hero. Same goes for Oblivion, though there you began being just a normal guy or gal. I think that with Skyrim I will be able to think of my character as a real hero more than anytime before.