This being Austin the W demographic is across the board. I wouldn't worry about not dressing "fancy" enough. I have been to the living room lounge a handful of times and honestly it has never felt too stuffy. Just my experience. The drink prices are another story.
Gingerman is a great bar. No mixed drinks, that I am aware of. Something to keep in mind.
The Austin Music Hall is terrible. The fact that New Order is playing and their setlist is the only saving grace. The facility does have nice bathrooms. The rest is shit. The sound, long lines for drinks etc...The previous owner put money into expanding it, for the sole purpose of making money, not making a better venue. The new owner was supposed to be making improvements but the last time I went it was worse than before.
I am so excited to see New Order, I don't care about the venue. Consider yourself warned though.