You could cope - especially if the front tires break loose well before the rears. You would just understeer and slide - scrubbing speed until you slow down enough to be able to turn (hopefully you don't hit anything before then). This is how almost all new cars are set up to handle.
The mismatched front/back thing is not much different than having the suspension (mis)adjusted in a way that sets up the same characteristics.
If you never drive your car in a way that makes any of the tires lose lateral grip, then you'd never notice the difference (except for maybe tire noise, ride comfort, or looks).