They could probably tax the large corporations that have structured to evade taxes some trivial rate, like one TENTH of one percent of income after expenses and losses, and end up with more gained than increasing top-tier income tax rates.
I'm kinda making the figures up, but I think my point is solid. The system is broken but wringing the citizenry out of more money isn't a good first step.
Or....we could quit spending so damn much.