what war was fought for the freedom of speech (first amendment) if there is one? or how did we fight to it?

Well lets see, the first amendment was from the constitution, the closest wars to the constitution were the Revolutionary war and the War of 1812. The revolutionary war was for the independence of America which led to the consitution but it wasn't fought for the freedom of speech exactly. The War of 1812 was just to try and get British out of North America and also to try and end the harassment of them on our ships.

In conclusion, there wasn't really any war fought for the freedom of speech. The closest answers IMO would be the Revolutionary War because the Patriots fought for the independence so they could have the freedom of speech OR Shay's Rebellion which wasn't really a war just a rebellion from a group of farmers in massachusetts which really showed why the Articles of Confederation (government code before the constitution) wasn't a good set of codes and concluding this, caused the Constitution to be written so you could argue Revolutionary War or Shay's Rebellion (Washington used Continental Army to end the rebellion, first use of military to enforce law)