This is actually incorrect. Think of the atmosphere as the surface of a balloon, much like curved space. There are large "mountains" and deep "valleys" (ridges and troughs) - domes of high pressure and bowls of low pressure. When a massive LP system such as a hurricane creates a large dip in the surface, it is steered by (pointed in the direction by) high pressure cells, around the periphery of them, and powered by the general flow of air around them as well.
Low pressure systems are generally attracted to each other - but they are actually steered by the higher pressures around the individual systems. They'll even combine in severe instances.
A low pressure system cannot push ANYTHING around. It will only be moved around by the higher pressures, towards the areas of lower pressures. It doesn't have a mind of its own, and she obeys the laws of physics.
I will agree that it disrupts local weather far inland, as seen this morn in South FL. The first burst of energy that come to the coast sparked a convective line of storms that produced 40kt winds locally and a good amount of rain. The outflow has increased the local temps and humidity, and will likely leave an inversion layer in place as she leaves, thus we'll be hot, miserable, and it won't rain.