not wanting to shake hands with Americans especially pet owners because of the habit of people scooping dog poop with their hands. I do not want to shake someone hand because they may have just finished cleaning up after their dog.
They do not use their bare hands. Anyways ... according to your logic, you should never shake hands at all, given that people use their hands to wipe their butts, and you never know what one has been doing. Come to think of it, I believe strict Islam forbids the use of toilet paper and insists on washing with water and hands.
I have come to realize it is almost an impossibility to live with an animal at home and be clean.
I don't see why it is impossible. But if one
thinks in terms of the way we keep dogs at home---i.e. not particularly clean and locked up in a small shed/box---then there could be problems.