You can't play Skyward Sword on a 360 controller in Dolphin. Wiimotion plus cannot be accurately emulated, you will not have a good time, and you will not be able to get past spots even with versions of Dolphin with Emulated Wiimotion Plus hacked in. If you want to play Skyward Sword on Dolphin, get a bluetooth adapter, a Wiimote + Motion Plus adapter + IR Emitter (preferrably from Dolphin's recommended accessories page, https://dolphin-emu.org/docs/guides/recommended-accessories-dolphin/ ) and a nunchuck if you don't have one.
Plus, you can use it with every Wii game and play them as they were meant to be played.
Plus, you can use it with every Wii game and play them as they were meant to be played.