They seceded to preserve slavery in their own state. They fought a war because Lincoln assembled a 75,000 man army to force them to remain part of the Union. A look at where the battlefields are should give you an indication of who invaded whom.
You mean this map?
I see battles in Union Maryland, Pennsylvania, Ohio, Indiana, West Virginia, Kentucky, Missouri, Nebraska, Oklahoma & New Mexico, among others.
If you count up the battles here, you'll see that during the war's first 12 months, more were fought in Union states & territories than Confederate and more Confederate soldiers died in the Union than in the Confederacy.
It's simply a lie to claim that Confederates posed no "existential threat" to the United States.