I don't think you can really compare race car drivers to fighter pilots. That each operates a high-performance machine is just about the only similarity between them, and even that's a bit of a stretch given the nature of their roles. (But, there is a reason why countries often spend mammoth sums of money to have the best possible hardware.)
I think maybe the visibility of F1 drivers is what causes so many people to overestimate their importance, and I mean that in a literal sense. With open-cockpit cars, there are no obstacles between fans and their favorite drivers. We can actually see them work in their "offices."
Plus, teams tend to market the --- out of the drivers. You see their names and faces everywhere.
Ferrari even supplies Alonso with a veritable throne.
I say that because this doesn't seem to be much of a problem in sports car racing. I mean, have you ever heard
anyone extoll the virtues of Tom Kristensen, outstanding driver and nine-time overall winner at Le Mans? Or do people tend to praise Audi's success at Le Mans?
Just a thought.
Don't get me wrong, though: F1 drivers have to be pretty damn good just get to get in the door, and only the best among them tend to succeed in the long run. But wins, losses, Championships, or whatever, don't say all that much about a driver's ability, because it's the cars themselves that dictate what a driver can possibly achieve without an outside influence. That means a driver with the best car really only has to beat his teammate to win on pace; absent any help, the other drivers don't have a chance.
EDIT: This is how lap times look when the role of the car is minimized.
And this is how they look when the car matters.
The spread widens from ~1.2s to just over 5s.