I dont think the confederacy would have much interest in the far east; however, if southern California had been allowed to separate from the union such as the people wished to, then the confederacy would have happily been able to crack open the orient trade and send missionaries to the far east. The CSA would cooperate under the Uk and french support and, on occasion, the USA. The south would be unwilling to provoke the union in a region of little interest to the confederacy.
civil war
In 1861 or 1862, had the confederacy refrained from attacking the union forts, this would have probably given the cotton states enough time to accept southern California secession just as they accepted Arizona's separation from the union. Instead, the south is desperate to have allies and soldiers, including immigrants, come to their new republic. Thus, the south would recruit immigrant workers from china, japan, and elsewhere not just immigrant workers, but immigrant soldiers/mercenaries.
Until hostilities began, the south had the means to pay these far east soldiers through free immigration with their families, rice, free food, guns and money until the war began. The problem that makes this unlikely is the distance, and really china is plagued with rebellions during this time, so supposedly Japan could fill the demand. After all, the old union government forcefully opened up Japan by force by rick perry. These archers, ninjas, and melee soldiers could have experimented with supporting troops with the main Confederate army. Jefferson Davis, considering he wished to experiment with camels, I could see him experimenting with longbows and special troops in the age of muskets
keep in mind Japan hasn't seen action in over 100 years as the ninjas and other warrior professions were teetering on the verge of being extinct. Japans Warriors classes would take a jump at finally getting a chance to see the glory of battle and act as mercenaries once again.