Fortunately, Red Giant's BulletProof looks like a nice solution to our problems ingesting footage from the unhacked GH1 into Final Cut Pro.
Unfortunately, BulletProof is not actually compatible with Panasonic cameras.
Fortunately, Adobe Premiere will, as pointed out by Kangas in the comments below, work with Panasonic's .mts files.
Unfortunately, Premiere will not read and interpret those .mts files shot at 23.98 but in a 29.97 container properly.
Fortunately, the most recent version of JES Deinterlacer will read .mts files, reverse-telecine them, and create ProRes Quicktimes which can be read by Final Cut directly.
Unfortunately those same files don't seem to be readable by Premiere.
Fortunately there is a thing called Adobe Media Encoder.
Unfortunately it doesn't look like Adobe Media Encoder naturally does reverse telecine.
So... right now it looks like the JES Deinterlacer and Final Cut Pro. Unless it's the JES Deinterlacer and Premiere. I don't know. I'm sticking to FCP just because it's "the devil you know". But... I dunno.