A shirt and tie sure would be overdressed for this restaurant.

If you have enjoyed your dinner at the highly recommended "Weisses Brauhaus" and still want to experience more typical Bavarian athmosphere, you might spend the 5 min to walk to the "Hofbräuhaus" the world-famous Munich institution. You will find a lot of tourists here, but it is also crowded by many elderly locals, not shy talking to you about everything and nothing.
These Munich-locals often don´t speak an English word, but after the first beer you always find a way to communicate together

@ Flying Lawyer: I´m surprised that you as a Not-Bavarian are so well informed about Munich specialties. Good Job