One of the strengths of the AK-47 is that it is intentionally designed to be easily manufactured using fairly cheap and simple machining. Even with the limited technology of the 1860s they probably could churn out a few AK-47s.
You’ve got a few problems though.
First of all, the Confederacy has very limited production capabilities. This was a problem for them during the entire war. You would probably have to convince someone else to make the AK-47 for them, and even then the AK is going to cost a heck of a lot more than a conventional musket.
A really good real world example of this is the German Tiger tank from WWII. If you put a Tiger and a U.S. Sherman face to face, you could even let the Sherman fire first. It wouldn’t matter. The Sherman couldn’t penetrate the front armor of the Tiger. The Tiger, on the other hand, could put a shell in through the front and out through the back of the Sherman. The Sherman didn’t stand a chance. It took on average four Shermans to kill one Tiger. But, the key thing is that the U.S. could crank out 10 Shermans for every German Tiger. The Tigers were in every measurable way the superior tank, but they lost on the battlefield because they cost too much to make.
Your AK-47 would suffer from exactly the same problem. The Confederacy would end up with far too few of them on the battlefield for them to have a significant impact on the war.
The second problem you have is ammunition. They actually had machine guns (well, technically hand cranked rapid-fire guns) during the Civil War. They didn’t use them for two reasons. First, they didn’t understand how effective they could be. You could say in that respect that they were just short-sighted. However, the second reason is much more valid. They couldn’t produce enough ammunition for them. Between the end of the Civil War and the end of the 1800s, there were two significant developments that both were required to make machine guns practical. The first was smokeless powder, without which even an AK-47 will get fouled up and jam, despite its (often exaggerated) ability to fire when dirty. The second development was the cheap mass production of brass. Without that, you can’t produce enough cartridges to make the AK-47 effective.
Even if you taught them how to make the right type of powder and how to make brass cheaply, you’ve still got the issue that the south just wasn’t that good at manufacturing stuff. That’s part of the reason we had a Civil War in the first place. The South was good at agriculture and wanted to stay that way. The North was good at manufacturing and felt that the South was holding them back. If you told the North what to do, they probably could have adapted and started cranking out AK-47s and the huge amount of ammunition required to make them work. The South would not have been able to ramp up its manufacturing capability to what was needed within a reasonable time frame.
Getting back to the OP, if you want the Confederacy to win, I think they need to hit hard and fast at the beginning of the war. The Confederacy’s lack of manufacturing ability made winning a long war all but impossible. They just didn’t have the resources. ETA: And they also need to plan it out better, instead of just rushing off to war as soon as Lincoln won the election.
As to the second part of the OP, what I am personally willing to do, the answer is nothing. I personally wouldn’t want the Confederacy to win.
What about the war criminals who ran Camp Douglas, or are you only concerned with atrocities on the Confederate side of the lines?