Thank you for the response, Dom! Tried finding some answers over on Reddit but no one was able to help, so it feels good to get some feedback here.
It's been a while since I've opened the outer lens up, but if I recall correctly there was actually no fungus beneath the outer lens layers (thank god). The camera appears to be in pretty pristine condition other than the fungus in the outer lens.
In addition to my problem in my original post, there was a smaller lens beneath the main outer lenses that I was able to remove, as well. It also has was appears to be fungus on it. I let it soak in some hydrogen peroxide for almost an hour, and the fungus didn't come off. I'm afraid this will be the case for the main 2 lenses that I'm trying to separate (assuming I'm able to do so). Do I need to soak for longer, or is there some other solution I should be trying?
In the meantime, I'll go ahead and give the acetone/hair dryer thing a try for the outer lenses. Thanks again!