In many cases they didn't, I suspect. Professor Dawkins, and others of the era, weren't saying anything particularly new from what I can see, they were just saying it out loud, publicly, apologetically, with the deference religious feeling was due rather than the deference it expected.
The Blind Watchmaker came out when I was 12, although I wasn't aware of it for probably a decade or so after that - by the time I was at university I was aware of atheists making arguments, but it was still on the quiet until the New Atheist movement really came about in the mid 2000s, and really caught the public eye following 9/11.
O.