The early 2000s era had Bush pushing apocalyptic evangelicalism, the Catholic church spreading aids across Africa by lying about condoms, the child abuse scandal, and 9/11 all going on at the same time - it felt like the lunatics had used polite society to stifle debate and force respect/submission.
Naturally this also caused anti-muslim bigotry, libertarianism and anti-migrant attitudes in some (e.g. Pat Condell). Nü Atheism never promised political alignment outside of secular principles. It wasn't great at spotting its own cultural biases, and spawned grifters and clout chasers.
This is where I think people get things wrong. Movements don’t spawn these types of people, these types of people spawn movements. Your Pat Condell’s were always anti-Muslim, Nü Atheism (and other movements) just gave them the platform and language to promote it. Same way sex pests become feminists
I don't think ideology is that straightforward - there will be some of that but generally it's multifactorial and directionality is all over the place because it's an individual product of experiences and culture.