An atheist who is "soft" on religious belief, and tolerant of even the worst intellectual and moral excesses of religion: atheist accommodationist.
A lot of leftist faitheists say, "I'm not religious, but we shouldn't criticize the Muslim oppression of women because it's a sincere religious belief.
Those with what Dan Dennett describes as "belief in belief". Generally, science minded atheists who believe that such figures as Richard Dawkins, PZ Myers, A.C. Grayling, Jerry Coyne etc. would do best to keep quiet about the matter, prefering the accomodationist approach that has been unsuccessful for the last several decades.
A. The godlycoddlers are upset that Dawkins has released another book.
B. Well sure, society wide change always works best when the proponents of change sit down, shut up, and know their place.