I used to have similar but weaker specs (same GPU, i5-2500K, but only 4GB of RAM), and I used to run most games very comfortably in Dolphin. Both GoldenEye and MK Wii were never an issue. The GPU is old, but it can handle almost any game at 1080p. Only trouble I ever did have was trying to run Xenoblade Chronicles at that resolution; I could only do 720p and keep a full 30FPS on the NTSC version.
Generally, Dolphin requires more CPU power than anything, and with the 3570K you can just overclock until you get your desired performance.
Generally, Dolphin requires more CPU power than anything, and with the 3570K you can just overclock until you get your desired performance.