Is there a term for driving and listening to music with no destination just to drive listening to music? Is there a specific term to drive and listen to music at night? Is there a term when a large group of cars cruise together mob or civilian?
Is there a term when a large group of cars cruise together mob or civilian?
In the formal and official context the term is "автоколонна". It is an organized group of buses / trucks / cars / military vehicles, accompanied by the police. This word is, e.g., for moving large group of workers from one site to another, or transporting a large group of schoolchildren to their summer camp. A motorcade. It's definitely not for "driving with no particular destination listening to music".
For informal context the term is "покатушка". This word is often used when a large group of people go biking, cycling, or roller skating. But there are examples when it's used in the context of a group driving their cars around for pleasure, for example, a group of off-road fans driving to a particularly attractive dirt hole.
I don't know any particular exact word for this. However if someone have asked me to describe this in Russian I'd rather used something like:
Кружить по району без дела и слушать музыку.
Просто кататься и слушать музыку.
There's no verb like "слоняться" or "бродить [без дела]" but for driving, so this is the closest I can think of.