Gould and Eldredge's P.E. doesn't "augment" the roles of antural selection or mutation at all. At base it starts with standard evolutionary theory on speciation and explains how that should appear in the fossil reocrd.
TO the best of my knowledge Prigogine and Kauffman's ideas have more to do with the origin of replicators than any replacement or enhancement of natural selection or mutation.
And there's no need to bother with Dembski's math - it's just a theoretical curiosity that has never been applied to any serious problem and isn't likely to be.
The ID movement has come up empty. We've seen a lot of bluster, a lot of claims that have turned out to be empty and no sign that ID is even attempting to come up with an alternative theory. There's no ID curriculum - the closest they come is to try to promote Wells' lies to try to undermine the teaching of evolution.
And unless you are claiming that we should reject all science except for cosmology there is no reason to reject evolution for not explaining the origin of the universe. The origin of the universe is outside the scope of biology altogether so expecting evolutionary theory to explain it is ridiculous.
And there are ways to quantify information - but creationists in general don't use them because they don't help argue against evolution. It is much better to use meaningless rhetorical argments because they sound good but can never be proven false.