both mini and jimny has central differentials with no locks, how ever after differential locks are available for jimny but too costly.
no traction control in both vehicles
after market snorkel , can be easily available for jimny for mini its available but difficult to source .
since you r asking for 660cc turbo engine, yes both vehicle are capable of going north, (i have done mahodhand, ganga choti jeep track, leepa valley jeep track on mini), deosai, astore and saifulmalook are peanuts for mini
mini has independent front suspension and rigid axle rear, whaeras jimny has both rigid axle.
4wd system of mini (manual lever stick) is better than new jimny (electronic button) prone to failure.
if you budget is low go for mini 660cc turbo , if your budjet is around 14 go for jimny 1300cc or 660cc