Hello again,
here is something that worked for me:
I played Full Throttle in ScummVM on my Linux PC and played through the Demolition Derby. I saved the game during the cutscene right after I jumped my car on the car of the two baddies, i.e. after the unplayable part is over.
I then transferred the savegame to my Android device. I had to copy it from the SD-card to the following directory:
/data/data/org.inodes.gus.scummvm/app_saves/
This is in the device's memory, so you need to be root to do that. The saved game then showed up in the game's "load" screen and continued from the right spot in the cutscene.
My saves are here:
http://www.mediafire.com/?i1vdvdy67q4e4
These are from the German version of the game (named "Vollgas"). To get them to work in the English version, you would need to adjust the filenames, at the very least. Just change "ft-de" to "ft". Also note, that the file extension tells you where to find the game in the "load"screen. I changed the extensions here to ".s51" and ".s52", so you'd have to scroll down to entries 51 and 52, but at least you wouldn't overwrite your own saves. Still no guarantee this will work, though...