The Wii did something gaming wise that was attractive to casuals. The Xbox One is doing something that is not related to gaming that may attract casuals. So, nah, I don't think they're quite alike, at least in the scope of gaming. But yes, they are both trying to attract casuals.
Literally the same as the 360 while the Wii was revolutionary compared to the Gamecube and the Wii U to the Wii (in terms of how you play: Controller to Wiimote to Gamepad)
I mean there are no games (Kinect Dance is not a game, inb4 "Durr then Mario/Zelda isn't a game too" responses) that can be exclusively played with the Kinect. Hell, the Kinect is more of a gimmick because it offers nothing substantial to gameplay.
The Wii was a step in a totally different direction that "conventional" gaming was taking. It changed both how games were played and who played games, a model the others eventually tried to capitalize on to limited success. The xbox one is a baby step towards changing how we access conventional gaming, and merging it with other technologies, but is generally leaving gaming as it is.