This has nothing to do with aviation...its about being the ALPHA!
Your wife grew up with a dad around (thankfully). He was the Alpha. He was confident, made decisions, held her accountable, didn't hurt her, actions over words, etc. Now you are in her life. She wants and needs you to be the ALPHA now. When women sense you're not Alpha they will test you (they don't even realize it) to see if it's in you. They are hardwired to do this and damn are they good at it.
Alphas don't seek approval. They are confident and lead. They don't "talk" their way there, they just do it.
If I told my 9yo daughter there will be turbulence she will now feel insecure, become increasingly anxious and beg to not go. However, if i did as much research as you did and then said lets go flying she will be gung ho to hop in the plane with us. If we then hit some turbulence and make a decision to abort she have witnessed confidence and leadership and decision making. Why would it be any different for your wife...unless she's a pilot and understands the AIRMET?
Kid with your wife. Lets say she's planning a important event for her family or friend. Then ask her what she'd think if you asked your mom to just jump in and help plan it. Most women don't want your mom in their space. Don't let her answer, just walk away and let her think about.
He'll, I'm not even a pilot yet and it's so damn cool! Sucks that her dad with all that aviation time just isn't into it anymore and can't be more supportive of someone starting out, teach you all kinds of awesome stuff and maybe see his grandkid fly one day. Hopefully being USAF isn't the issue. But then again I'm Navy so I have no clue what these AF people are doing