But it does not matter what sort of tyres you have front or back or the same you are going to have this feeling what ever and you will be used to it i.e.
Best tyres possible front & back - you will get used to really good grip all round and will start to drive to make the most of it
Medioka tyres front & back - here you would find the balance totally different to the set above so would learn to drive to it
Different tyres front & back - again its just another combination that you would adjust to. It would not be a sudden "Oh not its raining whats happening" because you would get used to the felling, just as you would if you changes all the tyres (unless you stuck to the same tyres all the time)