We arrived in Australia 47 years ago and have always had a dog, sometimes 2 ,in the family all that time.
My nickname, as you might guess, is derived from one of them, a Border Collie, very obedient, loveable and did as he was told, just like his master!
On balance though, I think he was Boss!
Anyway! I think I feel qualified to comment.
Dogs have to be on leads when in the street here, otherwise hefty Council fines. Leash-free areas exist, but not always easily accessible, so handling two dogs and associated plastic bags requires great skill as you will all appreciate.
Judging by the number of posters, this is just as big a problem as here.
What is required for a solution is "lateral thinking" as advocated by Edward de Bono . An entrepreneurial approach!. Prove that money does grow on trees, by recycling.
America has a human-poo bank; they collect "donations"which are turned into capsule form just like medicines (known as "crapsules")., for humans.
Apparently the bacteria in them has a 85% immediate success rate against certain gut infections. Of course, you can't just stroll up to this bank and say you wish to make a deposit! You and your poo are thoroughly screened and vetted, but if approved you get paid $40.
Look at www.openbiome.org/stool-donation
for full details.
Get down to your vets and tell them to open up a similar service for dog poo.
I don't know what doggy ailments could be cured by dog crapsules, but anything to avoid the spectacle of watching Fido churning his stomach contents before depositing on your carpet, not to mention the sound effects, can only be good for both of you.
Before you know it, you'll have a posse of dog
poo collectors following you around during "walkies".
Problem solved.
Good Health and Good Luck