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The push and shielding effect of even the most smallest bits of matter would see matter move toward other matter because the area between them has less "stuff" due to a shielding effect on the passing flow and each body would seek to move to the place of least resistence...
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That makes no sense, based just on simple observation. If you have two objects "pushing" on one another i.e. there's a force mitigating the push between each of the objects, how can you therefore have an attraction??. You can't have a shielding effect simply because the force of the push must, by definition, be coming from everywhere surrounding each object. There's nowhere for any "shielding" to occur. You are, by invoking a shielding effect, saying that your gravity is essentially a point source effect that is radiated away from the surface of your objects at different intensities, depending on their location, and in a specific direction.
There's absolutely no observational evidence for that, anywhere in physical reality. If that were the case, not only would the universe be littered with all sorts of weird gravitational point sources and anomalies, but nothing would appear as it does. In actual fact, the universe wouldn't exist....it would've collapsed in on itself before it even got started.