All right, I'll let you in on a little seecret for getting all the 3000cc achievements on F1 All Stars - you can modify the race set-up entirely and the achievements aren't disabled.
So, load the game, choose "Single Race" or "Quick Race" and you will be prompted to choose your track, car and whether you wish to play in 1000cc, 2000cc or 3000cc category.
But tucked away down in the bottom right hand corner is a prompt for you to hit your "Y" Button to customise the race.
Hit the Y Button and set up the race to suit what you want. Personally, I leave the power-ups on - it is a cart racer after all - but switch the damage off.
(As a sidelight, the key problem with this game - and one that stops it being quite brilliant) is that the power-ups are way overpowed - they hit you and slow you down, and also damage your car badly - forcing you to pit and the like, hugely frustrating when you've run a great race, lead, hit all the KERS corners, slipstream, etc and get hit by a rogue power-up and drop back to 6th in the blink of an eye).
But I digress.
Also I'd advise you to switch the number of laps to one to make the race short. Ensure you choose 3000cc as well!
So, now you have a one lap race with power-ups on, but no lingering damage. In other words - a proper cart racer.
Now, get to it and win the race.
Of course, you can also turn power-ups off too to ensure you win on racing skill alone, but there's no fun in that!!
Seriously though, this modification should allow you to get all the individual 3000cc race achievements, as well as: