Well, first, you just ignored old earth creationism/ID.
With old earth creationism we have billions of years of evolution, and no "fall" about 6,000 years ago. The argument that deleterious mutations are going to get us "real soon now" after billions of years doesn't scare me in the least.
Second, the question of what the evidence says is exactly the question we are here to discuss.
Evidence, yes. Scripture and "divine" revelation are not evidence. The idea of "the fall" is a religious belief, not a scientific finding.
The mutation rate and genetic load is part of the evidence. I think it is rather foolish to ignore evidence in any case. Sure, pointing to other evidence and saying this evidence over here is more convincing is perfectly reasonable, but you should also acknowledge that there is evidence against the theory (if this is actually evidence against the theory).
If the deleterious mutations are suddenly going to get us, with this "genetic load," after billions of years, perhaps we could be provided with a mechanism, and a reason for such a drastic change after all this time.
I think the belief in a young earth and "the fall" is behind this so-called science. With an old earth and no "fall" there doesn't seem to be a problem at all, no matter what creationist authors claim.
Religious belief does not constitute scientific evidence, nor does it convey scientific knowledge.