yes cross fire will be capatible but hd 5670 will not be an good choice for cf you should get a single hd 6770 or hd 6850 it wil be more better then crossfiring that gpu.
Also, that motherboard is not ideal for crossfire since it's 16x/4x. You're better off with an 8x/8x motherboard that supports AM3+ CPUs so you have some future updatability (being optimistic that piledriver is better than bulldozer).