1380 turbo's Mini's make for good road cars, as the torque comes in sooner you don't need to rev them everywhere, you also don't need to grab gears all the time, as above getting good pistons may be a challenge, but Omega's if you can get them are great pistons light and strong.
Remember:-
If you want to go for high boost over 16psi forget 1380.
As above wide cam durations just mean you'll be revving the nuts off it to get anywhere.
The larger the engine the less of an effect the cam duration has.
Use a higher final drive and a good clutch, this way you can control wheel spin, so a SCCR kit is pretty much a must have.
Diff ? a minimum of a cross pin is required, ATB or LSD would be better
Get rose jointed bottom arms and tie bars, as this if set up correctly will pretty much remove any torque steer.
Brakes vented fronts and 4 pots would be my start point.
I currently run a similar spec as above with 225/45-13 proxxes and 285mm discs with 6 pot calipers I've built mine for track but also to be road legal.