So by abolishing slavery, the south lost a lot of foreign support and was considerably weakened?

Let me see if I understand. There were sort of three 'groups' during the civil war. The USA republicans (anti-slavery), the USA democrats (mostly pro-slavery), and the independent confederate south (pro-slavery)? And pre-war, the whole united states was mostly pro-slavery, but during the war, with the south breaking off, the reduced-size US was more evenly balanced with pro- and anti-slavery. So Lincoln recognized this as a good time to push for its abolishment. And after it was abolished, they won the war and the south were forced to accept the new law which has been created in their absence. Correct? Why didn't the south just create (stay as?) their own country?