Thankfully Mrs Pilotage has her own brand of expensive hobbies, and spends her own money on them.
Seriously, logic won't win the argument, time and emotion may. I'd suggest not pressing the matter with her, but taking lots of your joint friends - particularly the more vocal ones - up flying. And making sure they both have a good time and feel very safe. Give it a year or so and I've no doubt she'll quietly change her mind without having to be seen to do a U-turn.
But, for goodness sake don't argue with Mrs Wombat about it, you'll never win an argument with the fairer sex by such weak methods as facts alone.
P