The biblical claims about the divinity and resurrection of Jesus only violate common-sense when viewed from the lens of materialism (which says that only the world of material things is real). But materialism is a scientifically unsupportable stance.
Atheistic reasoning which judges belief in God to be a “primitive superstition superseded by science” fails to understand the nature and limitations of scientific knowledge.
The person who disbelieves in God can only do so from the vantage point of some other belief which precedes and therefore underlies scientific inquiry…not from the vantage point of a “skeptical“ lack of any belief. Atheists are “skeptical” of Christianity (etc.), but are very rarely skeptical of the scientifically and philosophically unsupportable belief system that is alternately referred to as materialism or naturalism. When it comes to materialism/naturalism, Christians (and other theists) are the skeptics, and atheists are the true believers.
Atheistic reasoning often suggests that “science explains things without the need for God.” But such a suggestion is what is known in philosophical terms as a “category error.” Science describes things in terms of natural laws, but does not explain where natural laws come from or how they are enforced.
Atheistic reasoning often cites pure chance or luck as an alternative explanation to God for such phenomena as the origin of life and the origin of our universe.
Sure—the atheist argument goes—the probability of such things occurring naturally is very low…but with enough time, and even a slight probability, what is there to prevent virtually anything from happening?! But this atheist reasoning makes some very grave oversights. First of all, bare probability and large amounts of time, alone, cannot accomplish anything, ever. Period.
Atheism is rooted in the worldview known as naturalism (which says that there is no reality outside of the natural world). But naturalism leaves us no reason to think that we can rely on our reason. By dismissing God, naturalists have stripped away any reason to think that human reason can lead to truth. We should therefore dismiss naturalism as having no more value than the empty “convictions of a monkey’s mind” (in the words of Charles Darwin).