Assuming that you are talking about the disagreements between Thomas Jefferson and Alexander Hamilton
The disagreements between those two cabinet members led to the establishment of the firs U.S Political Parties.
Thomas Jefferson formed the Democrat-Republican Party while Alexander Hamilton formed the Federalist Party
The Gideon v. Wainwright court case changed the legal system we know because it re-established the idea that those who cannot afford attorneys need to be provided one. The 6th amendment of the constitution says that individuals have a right to a jury trial as well as the right to an attorney. This case reassures that an attorney should be appointed regardless of what type of crime is committed.
The Supreme Court justices, who voted unanimously for Gideon, discussed how appointing an attorney to those who cannot afford one is part of creating a fair and equal justice system.