You say they are stable with those clock speeds on both cards, how do you know they are stable? When they arent doing anything intensive they drop down to 2D clocks and their power usage is minimal. Try running furmark on them to see if it freezes.
Upping a 5970 to 5870 speeds isnt going to help a ton, you already have plenty of graphics power for most things on high settings, it will only give you a few extra points in benchmarks, not worth it if it makes your system unstable.