Thanks for all the responses, I love how much support there is on this site. Ok, so I'm getting the quote on the new sprag clutch, but I guess I'm just looking for some clarification.
To be honest I am yet to confirm that it actually needs to be replaced; the bike has sat for awhile and there could be any number of other issues that are keeping her from starting at the moment. However, descriptions of what happens to the electric start matched symptoms on my bike earlier last summer. My electric start made that grinding noise a few times, and then just began to sound like it was spinning freely. In response, I just learned to kickstart, which worked fine for the rest of the season before I put her away for the winter.
Now then, could I simply, instead of replacing the sprag clutch with a new one, just remove the entire assembly and only kickstart her? Or is my potentially-ruined sprag clutch going to keep her from even kickstarting until the entire assembly is replaced? Forgive my ignorance on how a sprag clutch works...