Quote from the opening post:
"My wife thinks that I'm reliving my childhood, and she is increasingly embarrassed by it. Unfortunately, the more time I spend on scouting (going to wood badge, etc.), the more she is convinced that her perception is correct. (After wood badge I started wearing the full uniform more and have spent a lot of time working my ticket.)"
Make sure you maintain quality and quantity time with your family and most important, your spouse. Scouting is a worthy movement, but not at the expense of a divorce.
Are you reliving your childhood? This is a legitimate question for all Adult Leaders. We have to remind ourselves, myself included, that we are volunteering our time for the Boys and not for ourselves. It's not about us, it's about the Boys. Would we still be willing to help out if we could not wear the uniform?
You may already have done this, but take some time to show your wife the "core values" of Cub Scouting. My wife does not share the same enthusiasm for Scouting as I do, but she does see the value of Scouting and how it can help grow a young man.