Since the revolver works correctly without moon clips and gets misfires with them, it seems clear that the moon clips are an important part of the problem. And you have received some excellent advice in this thread on how to resolve issues with the moon clips.

However, there is a possibility that the moon clips are not the only problem. It is possible that the firing pin strike is not as strong as it should be, and this could be aggravating the problem. Since the gun works properly without moon clips, you know that the firing pin strike is not too bad, but it may not have the extra margin of strength that is desirable in a gun where reliability is critical. The hammer strike may be quite strong, and the moon clips may be the sole cause of the issue, but it might be good to give the gun some overall checks.

The number one cause of light strikes and misfires is a lack of mainspring tension, but firing pin length, internal friction, headspace, endshake and other factors can also contribute. You can find information on this forum about how to check all of these areas.

The required strength of the firing pin strike also depends on your intended use for the firearm. On a competition gun, you might want just enough mainspring strength to get 100% reliability while also maintaining a light double action pull. But on a duty gun, you might a bit stronger hammer strike to insure an extra margin of reliability.

Based on the original problem, it does seem likely that the moon clips are the sole cause of the issue. But whenever I hear about light strikes, I recommend people to check the specifications in all the common areas which can lead to light strikes. Even though this case is a bit different, doing the basic checks might still be a good idea.