Thats a great point. My only concern with a sugar tax is that they will then replace it with even worse ingredients like corn fructose syrup or even worse Aspartame.. Aspartame seems to be in nearly all soft drinks now and is a very toxic poison...far worse than sugar.
The government and companies are in bed together. The government agenda can often even be worse than companies who mostly just want to make profit. Look at the FDA for example.
I think your strategy makes sense, avoid processed foods altogether and then they will lose money and stop producing them. I think its an effect of centralisation of everything and lack of small businesses that are usually more moral than big ones.