Well, the PSU can output 30A on the 12V rail. That will be enough if this is going to be a dedicated mining rig.
On the other hand, if you plan to use the system while mining, then no, it probably will not be enough. And certainly not, if you plan to keep the 8800GTS in the rig. The CPU can use over 100W under load, the 8800GTS close to 150W and the 5870 around 180W.