Whether the person is religious in a larger sense doesn't change that the only argument against abortion is "magical essence," as he puts it. Such beliefs are not limited to any particular dogma. Hell, I know one or two atheists who believe in "human by magical essence." Atheism only has to do with deities - any other supernatural stuff is still fair game. Hell, a straight-up Buddhist is an atheist, but they still believe in reincarnation.
I think it may be incorrect to call this a religious belief, since it isn't limited to religion. But it is most certainly an irrational and unsubstantiated belief that comes from a place of superstitious and magical thinking, like religion does.
As far as I can tell, this is the main argument against abortion. It is based on a supernatural claim that is without foundation, and is in fact verifiability wrong.