That wouldn't work everywhere, in my country trucks aren't allowed to drive after about 2100 until 0600 in the morning due to the noise they generate (trucks are pretty bad noise-wise).
Just yesterday, I saw a (German) news report about Volvo's line of electric trucks which is coming out next year. They said that Volvo hopes that those trucks will be allowed to drive in cities at night because they don't make engine noises, thus helping to partly alleviate the traffic issues that cities are dealing with at daytime. (Not sure if that adds up; a large portion of street noise comes from the tires.)
Tire noise will be the major issue there, I did take a course on environmental protection (fire and noise, Brand- und Lärmschutz) and they did mention the engine is only 50% of the total noise for a large truck. Mostly because it has lots of tires.
Whisper asphalt is also still somewhat rare and doesn't solve the problem entirely.