The Q6660 Inside
Honorable
FX6300\6350 is your friend, it is only 20$ more than the 965BE and offers vastly superior performance in many applications. On the actual question, the 965BE is superior, but as stated above, the FX6300 is a better choice.
FX6300 build: http://pcpartpicker.com/p/1gY7B
FX 6350 build: http://pcpartpicker.com/p/1gY6t
965BE Build: http://pcpartpicker.com/p/1gY8M
FX6300 build: http://pcpartpicker.com/p/1gY7B
FX 6350 build: http://pcpartpicker.com/p/1gY6t
965BE Build: http://pcpartpicker.com/p/1gY8M