putting saw dust in the drive train is a good way to unload a piece of junk...
in the paradigm shift that junk gets paved over--put in a museum--out to pasture!
If by "not mutually exclusive" you mean that the human psyche is capable of affirming two logically mutual-exclusives without being troubled by the contradiction, you of course are correct. Human mentality is capable of that, and a host of other evils. That is like saying, "It is possible to be a fiscal and social conservative who feels that a totalitarian state controlling all of human life and commerce, and crushing out every last vestige of human freedom, is the best form of government."
If, however, you mean that it can be done consistently with one's professed faith — that is, with the Bible — then you are mistaken.