Excerpts from the link you've posted:
# Adapts Socket 370 motherboards made for FC-PGA processors for use with. . .
# . . .FC-PGA2 (Tualatin) processors.
# Also adapts Socket 370 motherboards made for PPGA processors for use with. . .
# . . .FC-PGA (Coppermine) processors.
Abit BM6 is a socket 370 board made for PPGA processors. According to the above description, this socket you've linked will not allow you to use a Tualatin processor but only a Coppermine processor.