Force per unit mass is the only meaningful measure of acceleration.
Power is the product of torque and rotational speed.
When I was once shopping for a car, I noticed that all of the cars in the "class" that I was looking at had roughly 2 liter engines, roughly equal torque, and the rated power was roughly proportional to the rpm where power was specified. I reasoned that I will never push the engine to its max rpm, so the power ratings were meaningless.
Yeah, peak power doesn't mean much for normal driving. As you say, not many people rev their motors that high. Torque is certainly more important, especially in smaller cars (like the 2L engines you mention). I've driven cars that go really well high in the rev range, but you're forever changing gears because the motors just die at low revs. Those sort of cars are very tiring to drive on a daily basis. You slow down to a near stop, and have to slam it back into 1st - that's a pain in the ass.