What did the disagreements between Alexander Hamilton and Thomas Jefferson create?

Essentially, our two party political system.....

.....which is exactly what George Washington said "Don't do." Honestly, they had one job.

But in all seriousness. Hamilton was a Federalist, which meant that he was in favor of a strong national government (hence his creation of a national bank and the coast guard, etc.), whereas Jefferson was a much more conservative voice, more interested in the country being a coalition of sovereign states.

Because of the system put in place, we have both. Although ore often than not the states don't stand up for their rights.