In most of those countries, the "Slaves" became the government through revolution. Mexico is a case in point. Emancipation there came in conjunction with the revolt against Spanish rule. The slave owners in the Mexican state of Texas resisted emancipation through legal subterfuges (forcing their slaves to sign life-time indentures) and continued their flouting of Mexican law by importing more slaves to the point of rebellion against Mexico.
In cases such as the French colonies, they didn't fight a war per-say --- the slaves simply rose up and in a matter of weeks killed every damn slave owner they got their hands on. (A fate that would have eventually happened in the Deep South if the demographic trends of slaves vs. free whites had continued for another few generations) New Orleans filled up with the French lucky enough to escape Haiti. The British colonies learned a lesson from that. When London ordered them to end slavery, they went along however reluctantly knowing that the British army would not protect them from their own slaves if they resisted.
Are you honestly suggesting that Texas revolted as part of some slave conspiracy? Hate to break the bubble of your fantasy world, but we revolted because an angry little tyrant named Santa Anna seized power and overthrew the Mexican Constitution. He went about dissolving, consolidating, and coercing the legislatures and government officials who objected and, in doing so, prompted half of his country into revolt. One of the revolting regions was Texas, which had been politically aligned with the opposition party. It started here when he sent his military to dissarm a frontier town of a small cannon it had used for its defense (can you say gun control?) and after Santa Ana imprisoned a Texas political leader on a peaceful visit to Mexico City to seek conciliation and restoration of representative government.
In response to the revolts around Mexico, Santa Ana raised up an army which he then sent across the Mexican countryside to enslave peasants in the service of the soldiers (in other words, he practiced exactly that which his apologists claim he was opposing). In 1836 he marched that army into Texas to coerce obediance. Texas declared its independence and then routed his army at San Jacinto. After achieving independence, Texas continued to provide naval support and resources to other areas in Mexico who were resisting the dictatorship. One of the battles they participated in is depicted in the engraving on the famous 1851 Colt revolver.