depends on the game, but with that board, you could use the "unlock" feature and end up with another phenom X4 out of it.
BF3 multiplayer will hate the X2 without a doubt, but as an x4 unlocked, your where you started.
That gigabyte board does have the "unlock" option, as for the ability to unlock the 560, Id say about 3 in 4 chips work without issues, maybe higher.
The other problem is that board does not support the fx bulldozer chips. Odd but the "fx-4130" is listed on the supported cpu, but its not sold.