Hmmmm. Let me start by saying that I've been eating unwashed fresh food (plant and animal both) since I was crawling (as have most of my friends and family members) without any incidence of health issues. In fact, one of the things I couldn't understand after I moved from Poland to the US, is how come all of the American kids have routine gut and intestinal issues. Specifically, what is a "stomach flu" that these kids keep talking about?
I've brought near-dead piglets seemingly back to good health by giving them a spoonful of rich compost, almost certain to be teaming with e-coli among all sorts of other microbes considered to be pathogenic.
>Animal poop is full of it, and we don't want that in our food supply.
Animal poop is already in our commercial food supply, especially vegetables as you alluded to. Hell, quite a lot of rat and mice meat is allowed in our commercial meats here in the US.
>Machines don't leave e-coli behind to contaminate our food like biological organisms do.
No, instead machines leave behind oil, gas, coolant residues to contaminate our food and soils.
E-coli is only a problem if you don't embed yourself and your gut with as many other strains of various microbes as you possibly can. If you're HIV positive or immunocompromised, then for sure, wash your fresh food and everything else you ingest, for everybody else, don't worry about e-coli.