No it isn't. The correct term is secession. The War of Independence was fought to preserve our form of government. It was the British who were trying to replace it.
Say whaaa?!
Say what?
You are betraying your ignorance. The colonies lived under a monarchical form of government where all must swear allegiance to a King. The revolution was not intended to preserve a monarchy, or even about replacing one monarch with another. Its intent was to end monarchy and create a Republic based on the rule of law.
It is an insult to history to equate the cause of the Revolution and the lame excuses (only conjured only after the war) for the secession of the slave states. At the time of secession, they were quite honest that the only difference they had and the only thing they cared to preserve, was their ability to spread slavery where ever they could.