Neil, here's the reasons why it won't work.
1) The carpet is wrecked and creased so there's no way you will get them to join perfect enough that it be good enough to race.
2) The length of time to lay it. So you are comparing what you want to do against a permanent laid track???
3) If is is laid then I want doubt you have time to put any jumps in.
4) You spin out on the tape where the carpets joins on a corner.
5) You'll have to have 2 rounds and finals because the cars run that hot. I and others don't have an endless supply of motors and money.
6) Tyres won't last 2 weeks!
I everyone wants to do it then proceed as I'm up for a laugh when it goes wrong.