I don't think that's actually the case. Huge companies like Microsoft, Apple, and Google spend a massive amount of time and money fighting comparatively tiny patent trolls. While they might not want to abolish the current patent system, they certainly want to see it changed.
Sure, it's a huge cost to big companies (and smart big companies who are actually innovative and passionate see that as a bad thing). But it's a cost that big companies are capable of shouldering. Whereas these costs can be existential risks for smaller companies. That gives bigger companies a competitive advantage.
Is there any hope we'll ever get rid of this travesty?