The anti federalist opposed the ratification of the constitution because the new constitution

 Anti-Federalists opposed the ratification of the constitution because they wanted to keep all state's rights, and they wanted to govern themselves with the freedom to print their own currency and pass their own laws, basically treating each state like it's own country. There was no "new constitution" unless you are referring to the constitution itself when it got it's birth from the Articles of Confederation. Hope this helped!

The way this small state - large state compromise guards against tyranny is that small states and large states have one note: i am sorry but i was not able to give you the full answer. but i got this answer from