I've heard that people live streaming with high resolution on a i5 will bottleneck the cpu and that the i7 significantly increased their Fps. If this is the case then I'd rather go with the i7 instead. Besides it's only a bit slower than the i5 on the Dolphin Benchmarks without live streaming I would assume.
Windows 10 x64 , Asus Maximus VI Hero LGA 1150 Z87,
Intel Core i7 4770K OC @ 4.0ghz with Noctua NH-D14
EVGA GeForce GTX 780 Ti Classified, Corsair Vengeance Pro 16GB DDR3 1866MHz,
Samsung 840 EVO SSD 120GB, NZXT Phantom 410 (Gunmetal) ATX Mid Tower
Intel Core i7 4770K OC @ 4.0ghz with Noctua NH-D14
EVGA GeForce GTX 780 Ti Classified, Corsair Vengeance Pro 16GB DDR3 1866MHz,
Samsung 840 EVO SSD 120GB, NZXT Phantom 410 (Gunmetal) ATX Mid Tower