You are hundred percent RIGHT!! Halachacally, it is much betetr to wear a snood or a hat or a scarf ,covering al lthe hair. Thre is not even a question about this. Rav Ovadia josef shelita, I think, even forbids sheitlech in favor of scarves and hats.
But then, you are living in the midst of a pretty materialistic society, in spite of all their protestations. Nothing wrong in that as I, too, live in such surroundings and may even have sampled the materialistic dream. However, it is INEXCUSABLE to be rude to your wife. She is the “Aishes Chayil’,not them! Gut shabbos!