Yes, that is exactly what happened. The South wanted to secede, Lincoln said no. He said no in more colorful terms than that (Crap about "Preserving the Union") but ultimatelyit came down to this, Lincoln was willing to murder hundreds of thousands of Americans if that was what it took to prevent Confederate independence.
The North also owned slaves so I've always found the "But he freed the slaves" part to be irrelevant. Lincoln only freed the slaves because otherwise Britain and France may have recognized the Confederacy. They had freed their slaves already. The Union had not. Lincoln somehow managed to get Britain and Franceo off his back by freeing all the slaves he had no real power to free (A few were actually freed IIRC, but not many, immediately. Lincoln, of course, had to conquer more southern territory and murder more Southern Confederates in order to free anyone else.)
The North also owned slaves so I've always found the "But he freed the slaves" part to be irrelevant. Lincoln only freed the slaves because otherwise Britain and France may have recognized the Confederacy. They had freed their slaves already. The Union had not. Lincoln somehow managed to get Britain and Franceo off his back by freeing all the slaves he had no real power to free (A few were actually freed IIRC, but not many, immediately. Lincoln, of course, had to conquer more southern territory and murder more Southern Confederates in order to free anyone else.)