Hi gmat1981,
While I imagine that it is mathematically possible to read through all of those books in 4 weeks, I don't think that it's a practical plan and I doubt that you would retain enough of the material for this approach to be considered advisable.
Remember that you have to give your self enough time to practice and gain a certain level of comfort with the material that will show up on the GMAT. Working through the material quickly really limits that possibility and likely eliminates any chance to review past material. In addition, you would have a limited amount of time to take practice CATs and work on all of the non-academic skills (pacing, endurance, etc.).
If your goal is to score in a high range (700+), you're probably going to need more time than this plan allows.
GMAT assassins aren't born, they're made,
Rich