I had a similar problem with my 2008 FLHT. It would intermittently die on the highway. After a lot of work, they replaced the Kill switch. Over 4000Km (2500mi) and it has been running great!
See my thread:
Engine intermittently dies, no codes (this is very long winded)...
FLHTrider08
See my thread:
Engine intermittently dies, no codes (this is very long winded)...
FLHTrider08