I see a lot of evidence that my recently learned choice term, ‘motivated reasoning’, is quite evident in broad generalizations (such as necessary infinities or eternities) while ignoring or denying empirical evidence.
The idea that there is any eternal nature independent of God (or in spite of him) is a good example, and the big bang certainly is not proof that there is. I like Stephen Hawking’s lecture, The Beginning of Time, where he basically says that anyone who thinks they know anything about ‘before’ the beginning of time doesn’t know what they are talking about.