Dawkins is (and always was) a post-theist Christian
https://www.unqualified-reservations.org/2007/09/how-dawkins-got-pwned-part-1/
Many Christians see the modern decline and the semi-retraction of 'New Atheists' like Dawkins and want a more hardcore version of modern schismatic Christianity. As the preceding link makes clear, that would be a mistake. Dawkins represents exactly that form of Christianity, and adding cosmology will not vitiate his ethics.
Instead, Christian should re-embrace Scholasticism, making reason based on experience respectable within the Church
Dawkins himself should embrace the naturalistic ethics he highlights in his book The Selfish Gene, but rejects in favor of "rising above" our nature (to embrace a toxic form of ultra-altruistic Christianity)