You're going to have to see if you can tap power from the unused sata power cable from the optical bay, then use a 6-pin adapter or place an additional PSU in the optical bay.
I don't believe you will get enough power from the system to run everything off the system powersupply ,
two 7970's would run with an excess of 550w's , especially since you have a dual CPU system . also the PCI-E slots are only rated 300w's across the entire PCI-E buss . The card just being in the slot will draw up to 75w's .
I have two 7970's running , with a second PS running in the 5.25 bay. This upgrade isn't exactly for the light of heart especially if you need the 3rd PCI-E slot. PCi-E 8/6 pin connectors will not pass though where the sata cable is run, you will need to splice PCI-E extensions to the additional power supply. Easiest way to do this is to use a molex tool to push out the pins of a PCI-E connectors and run the wires and re-insert the pins. The extension cable at minimum needs to be 15 inches. If you do end up needing the 3rd PCI slot the power cable which feeds the 2nd power supply can not be run out though the slot connector ( the power supply comes with a internal cable to run to the PCI slot ) , this is where it gets interesting you will need to CUT your case