You can cut yourself, get an infection and almost die from cleaning a chicken carcass in the kitchen too. But that doesn't mean that you should shoot every chicken carcass that you come across.
Non poisonous snakes run (crawl) away from man...generally as fast as possible. So do most poisonous snakes. If you got bit by a snake, chances are good that you were doing something that you weren't supposed to be doing, particularly when it comes to non-poisonous snakes...like trying to catch it, or messing with it. Take a look at 'Venom ER' on Discovery Channel (or whatever channel it's on), and see how many people were 'just bit for no reason'. Very few.
The bite of a non-poisonous snake is no more prone to infection than any other animal. The fact is, the common house cat is more likely to give you a bad infection from a bite than a non poisonous snake. If you get bit by any animal you should immediately take care of the wound, ditto for cuts. Wash out the wound with soap and put an antibacterial ointment on it and a bandage. If you don't do those simple things, then you're prone to getting an infection...and possibly dying from it.
If you live in a place that is habitat for poisonous snakes, then you shouldn't be walking around barefoot, or playing in tall grass, or turning over boards...or any of that stuff, without expecting to come into contact with a snake.
Be honest. People kill snakes because they are afraid of them, period. It all goes back to that episode in the garden of eden way back when.