IMHO--you don't.
If you are comfortable with what you are doing, then do it. Laugh all the way to the bank.
If people don't want to use coupons, they don't have to. It seems that there is plenty of smack in towards non-couponers as well. Almost that they must be "stupid" if they don't use them.
I flip back and forth between them. I can't quite get organized, right and I lose patience. I may get back to it, I may not. I try to get my grocery budget to a place that makes me happy. I don't owe anyone an explanation for how I didn't get my $1200 for $1.99.
And you don't owe them an explanation either. Just laugh all the way to the bank and be proud of what you have been able to accomplish for your family.
Sub out--"how to do deluxe disney for value pricing" or "how to buy a half a million dollar home for $99,999 and the same judgement occurs.
You won't be able to change people's perceptions of what you do, you can only change how you perceive others.
I remember when I was a kid, I could never figure out how the cashiers knew how much we saved if they didn't know how much cash my mom had left in her purse. I always though the "savings" was the money you had left over after the purchase. Almost like they were fortune telling or something.
ETA: And my husband's philosophy is that we save more if we don't buy it in the first place.