New platform is definitely more capable than older ones.
But ...
New A4/5 will be significantly bigger than 3er. And that makes quite a difference in handling / steering performance. It's more difficult to make larger car as nimble as a few inches shorter car.
I'm not sure what will be done regarding the weight - yes, axle distribution will be better, but what about total weight.
Handling will be very good for FWD car, but not as good as RWD.
Steering precision will still be a bit behind BMW, but better than Audi offers today.
Quattro handling & traction will be even more improved, and more driver-friendly than RWD. xDrive will have to come with Dynamic xDrive.
Lower end 4-cylinder engines (TSI, TFSI) will be better than BMW NA ones - delivering better performance. Until BMW introduce I4 turbo engines. Bigger engines (6-cyl & above) will still be BMW's domain. But will be a close call when Audi hits with big TFSI engines.
S-Tronic will still rule in the gearbox field. Until BMW come with their DSG solution.
Audi will definitely offer more car for the money: a bit better built quality, more pleasing interior, more interior space, smoother & less complex design. But ... will it be as fun to drive as BMW cars in the same segment? I don't think so. A cup for Driving pleasure / thrill will still go to BMW. But Audi will come VERY close. And be sure BMW will not stand still.
What about MB?
I'm sure Audi is taking on MB as well: making their cars more spacious, more comfortable & prestigious.
But ... there is very hard to say which car will be THE BEST. All will be VERY GOOD. And only personal tastes & needs will be crucial when making decisions which one is the best FOR YOU.
Cars are products. The best car is the one that suits you best. Even if it is a Yugo.