These motorcycles are really old and loud.

[alpacinoutd]

Is this correct and natural?

These motorcycles are really old and loud. When you walk in the city, when they ride past you, the painfully loud and ghastly sputter of their engine sweeps through your body, rattles you to the core, leaving you appalled. Sometimes, you are fast sleep, then one of these motorcycles rides in your alley and it jolts you out of sweet sleep. You wish you could grab one of those god-awful motorcycles and throw it in the lake.

I think it needs work. How would you express it?

[Tdol]

Are the engines actually sputtering? Could they be roaring?

[Charlie Bernstein]

Change in your alley to through your alley or down your alley.

(Up your alley is a fixed phrase that means something else. itr means it's one of your interests: Here's a story that's right up your alley.)