Lund Explorer

From what you have described, this is a private lake that you don't own yourself.  Sadly this means that the choice of who fishes this lake, or what gets taken out of it is out of your control.  My advice to give you peace of mind would be to either try to purchase this lake so you can make up the rules, or to accept the fact that you can't control the actions of others.
 
Every minute that you are upset over this, is one less minute that you have to enjoy your life.  Learning to understand your own limitations is the key.  To quote Mr. Spock, to do otherwise is not logical.

With all due respect to others who state that they can safely stand in almost everything that floats, that shouldn't be your concern.
 
What can your son safely stand in?
 
I'm going to say that Catt had the best advice if, and only if, either of you decide to stand on the existing floor.  No standing on the seats, or adding in platforms to make it "like" a bass boat.  Because you said that budget concerns weren't an issue, you may want to upgrade to something like BPS's 16' Panfish Boat. 

If you don't mind someone playing the devil's advocate, a simple question.  Before you got married, didn't you consider the fact that adding someone into your life might somehow change the way you lived it? 
 
Unless the two of you met at a Bass Anonymous meeting, the odds are that she doesn't have the same affliction.  If you've been paying attention in those meetings, you'll recognize the fact that the problem is yours and not hers.  But there is a cure!
 
Marriage was meant to be a long adventure into the future together, and not a sprint to the finish line.  With that in mind, you just need to tone down your approach, and gently get her into the sport.  Understand that she isn't addicted, and probably never considered why her standing along the bank in bright colored clothing would do to the fish or to you.  Imagine how much easier it would have gone if you had taken the time to explain what to wear, and how to walk/sit along a bank before you got there.  I could even see you earning some brownie points for taking her shopping for some fishing appropriate clothing.
 
I had the something like the same problem when I got married to a woman who wanted to learn how to fish, but couldn't tie a hook on, bait the hook, or take off any fish she caught.  It was an absolute chore to take her bluegill fishing because I was constantly baiting hooks, unhooking fish, cleaning and cooking them.  The only thing was really good at was eating them!  After almost 40 years, she is better at some of those things, but she will never get to the point where I'm at. 
 
My advice is to admit to her that you have the problem, agree to take it slow, keep it simple, be happy with what she has the ability to learn at whatever pace she wants to take.  It's the same approach you are going to need to take with any children the two of you may be blessed with.