What problem are you trying solve? As bad as problems as the academic community has (it has lots!!), names on papers is not one of them.
Science is the organic collection of all people and resources and knowledge engaged in figuring out how our world works. Having blind papers would mean I would just have to spend an extra 10 minutes reading each paper to figure out what group wrote it.
The fact that Prof. Ivy League gets her results recognized more easily then Prof. Nowhereville is, actually, an ok system. Because Prof. Ivy is more likely to be pursuing interesting problems to the rest of the scientific community, she's more likely to be trusted by other scientists to be a good scientist (i.e. not careless), and the system supports people who have "made it" through the academic gauntlet.
If Prof. Nowhereville actually finds something interesting, pursues publication, passes peer review, and it gets published then great. His results are probably worth the attention of the scientific community. But the fact that the barriers are higher is ok, because he hasn't proven himself to be as trustworthy.