I think that your timeline is a little mixed up here, or you are conflating separate issues.
While the admission to the Union of California on Sept. 9, 1850 was one of the outcomes of the "Compromise of 1850," and its admission does follow the "Missouri Compromise" of 1820 (which bisected the nation at latitude 36°30' N and would have led to a "State of N. CA" and "State of S. CA"), California was actually not a "highly-contested property" in the Free State / Slave State issue, and there was never any real doubt as to the status it would have after admission.
There were other territories that were admitted alternately as Free States / Slave States in an ultimately futile effort to "maintain a balance." And, after the Civil War broke out, the Confederacy did suddenly lay claim to various western territories below the aforementioned parallel.
Regards,
Not according to what I was taught in my history classes. There was much conflict in California between the two sides, and the U.S. government sent troops to forts throughout California to quell secessionists activity, many activists were arrested or fled and led confederate battles in the South. Much of this secessionist activity occurred after the Compromise of 1850, and continued to the Civil War. History is clear on this.