With any serious saving of weight, the contact area of the tyres needs to be considered. If a lot of weight is saved it is sensible to run narrower wheels (and thus lighter) with narrower tyres. Then the wheel arch extensions can be removed which reduces the aerodynamic drag as do the narrower wheels and tyres.
The biggest areas to save weight on a normal Mini are to fit perspex or polycarbonate windows, remove the sound deadening 'black goo' on the floor, cut away the inner door skin by cutting lightening holes, fit aluminium outer door skins, fit a GRP or CF boot & bonnet lid, run without a front grille, cut out the rear door bins, fit lightweight front seats, remove the rear seats and rear seat base panel front edge.
The roof skin does little structurally and a carbon-fibre roof skin can be bonded on after removing the steel roof skin leaving around 3" around the edge for the bonding area. You would normally have a welded-in roll cage so strength of the roof skin is not an issue.
It all depends on how far you want to go and why.
Edited by Cooperman, 31 December 2016 - 10:31 PM.