This is the infamous 1971 SBC Resolution No. 4---On Abortion:
"W H E R E A S , Others advocate no legal abortion [the Roman Catholic Church alone], or would permit abortion only if the life of the mother is threatened; ...
Be it further Resolved, That we call upon Southern Baptists to work for legislation that will allow the possibility of abortion under such conditions as rape, in- cest, clear evidence of severe fetal deformity, and carefully ascertained evidence of the likelihood of damage to the emotional, mental, and physical health of the mother."
This Resolution was sustained throughout the 70s and 80s and is one from which they cannot recover.