Not at all surprising. Religion and science don't conflict because they operate in largely independent spheres. We might as well ask if our poetry or music "conflict" with science.
Also no surprise that the least religiously observant are most likely to say there is a conflict. Many of those described as "the least religiously observant" are actually among the most devoted followers of the "religion of science". By that, I mean those who are overtly hostile to deist religious beliefs and are deliberately using science as an "anti-religion" to attack religion. For many of these, science has become their religion: that institution in which they place full faith, their high priests being the lab-coat-clad scientists who run experiments that 99% of the population can't even begin to understand, much less replicate.
To paraphrase Galileo, "The Bible tells us how to go to heaven; Science tells us how the heavens go." No conflict, simply different spheres of operation.