LMAO ...."Intelligence" and "secular humanism" are mutually exclusive.
That has nothing to do with religion or the Judeo-Christion God...It's that they're nihilists, and nihilism is one of the most anti-intellectual things I can think of.
Nothing left to be said.
Here is a word you might like:
oxymoron -- "a figure of speech in which apparently contradictory terms appear in conjunction"
For example "An intelligent anti-faith Secular Humanists"