I can't say I agree with you on the point about "race cars being impossible to catch". I've done my fair share of research on the matter. Race cars are harder to drift than road cars? Yes. Impossible? Far from it. Why?
Racing tyres have generally stiffer sidewalls so they peak at lower slip angles. Therefore upto that point they gain grip really quickly. After that the curve levels off and it feels as if they have lost grip, where as they have merely stopped gaining grip.
On top of that, race cars run on racing rubber which is very heat sensetive compared to normal road tyres (different compounds, I know this from one Todd Wasson so I don't think I have the right to go into too much detail as he makes his living from this type of thing - not that he's passed on his infinte supplys of tyre wisdom to me

). Anyway, road tyres are hardly affected by temperature at all until they hit some insane temperature. Temperature effect is apparently exaggerated in LFS for road tyres a lot.
And then you also have aerodynamics. You'll find that most wings will lose a significant proportion of their downforce with the increase of yaw angle. I know very little on this matter though.
Lastly, the fact that race car drivers don't drift doesn't mean they can't - it's just slower than going around normally so they avoid it as much as possible. As you pointed out, there have been a number of incidents where F1 cars have recovered from notable slides.
