These are the computer specs:
Motherboard: Gigabyte GA-Z68AP-D3 v2
CPU: Intel Quad Core i7-2600K, 3.40GHz
System Drive: Kingston 9905403-437.A01LF
RAM 2x4GB Dual DD3 1333 MHz (8GB Total RAM)
Video: AMD Radeon HD 6950 (Cayman)
Drives: All connected SATA
System Drive: SSD KINGSTON SV100S264G
HDD 01: Hitachi HDS723030ALA640
HDD 02: SAMSUNG HD204UI
Is it possible to dual boot Linux in one of the secondary drives? Which version would be best if I want to use Linux to clone 2 DVD games which I legally own but the disks are begining to physically wear out from use. LOTRBFME, WARCRAFT BATTLENET ED.

Almost any linux should work on your computer, I would think! If you have not used much linux before, I would suggest using Linux Mint. About cloning games - that I have never done.

+1 for Linux Mint.
Why do you think that you need Linux to clone discs, or that Linux would be better in it? If they are copy-protected Linux will not be better than Windows in doing that.