I went ahead and bought/installed a Wolfdale E6500 in place ot the E6320 Conroe, and IT WORKS GREAT!!!!
Just so you know..the true successor to your Core 2 Duo E6320 is Core 2 Duo E8xxx Series and not Pentium Dual Core E6xxx Series that you got, and i am saying that because your old processor had the Clock Speed of 1.86 GHz, L2 Cache 4MB and FSB 1066MHz. Your new processor has a Clock Speed of 2.93 GHz, L2 Cache of 2MB and FSB 1066MHz. In my opinion your true Upgrade path would be (if motherboard supported it) to get a Core 2 Duo E8400 with Clock Speed 3.00GHz, L2 Cache 6MB and FSB 1333MHz.
Both Pentium Dual Core you got and Core 2 Duo E8xxx Series are Wolfdales...