As far as I know, such models has existed practically since Darwin. In the very first book that I read about evolution, there was an outline of how life had evolved from single-celled creatures to humans.
To be fair, the "models" that exist are vague descriptions. What ID advocates are demanding is either a laboratory demonstration, or a detailed, step by step account, or simulation, that could take us from atoms to life (for abiogenesis), or from one species to another (for evolution).
On some level, it's a reasonable demand. I find it hard to criticize people who insist that until such detailed models exist that evolution has not been proven.
Where I object just as strongly as anyone else on JREF to the ID crowd is that they try to turn the lack of those models into evidence against the theory of evolution. That is, as you pointed out, and as has been pointed out ad nauseum in this forum and elsewhere in all sorts of other media, a pure argument from ignorance. The only thing they have is, "You can't prove it." (And "proof" can only be a recreation, or an extremely detailed, molecular level model.)
I also emphasize to any ID sympathizers that while our existing models might be vague descriptions, there is a whole lot of evidence that is entirely consistent with those vague descriptions. Our knowledge of DNA, which has been so instrumental in our understanding of the chemistry of life, and which has been leading to so many advancements in modern medicine, is anything but vague, but it is entirely consistent with everything that has been said about evolution ever since Darwin. Indeed, the quest to make those evolutionary models more detailed has driven a lot of those advances in our knowledge, and nothing has ever come up inconsistent with the theory of evolution.
So, I don't know enough about abiogenesis to say what the probability is that life will arise on an Earth-like planet. I don't know enough about evolution to say what the probability is that complex life will evolve from simple cells. However, I do know enough to say that it appears to have happened once, and there is no real doubt about that.