It's not at all unprofessional. Do, however, consider that chaos and bad practices are the normal operation procedures for most companies in the world.

What you can choose is how you react to it. Expending energy trying to fight the chaos of an organisation is wasted energy. Waste to the org and you. Why give them free stuff?

Leaving is a valid and good choice and I've chosen this in the past a few times. Beware the grass is greener effect and be prepared to encounter similar distinction elsewhere!