You talk about cancer as if it were the flu, some common viral infection that most people get every now and then and is a minor annoying blip in one's everyday routine. It's a radically different disease by virtue of the fact that it's your own cells gone rogue. I'm not saying it's beyond the realm of science-based medicine, I'm saying it's not a trivial problem to solve, yet the fact that modern medicine hasn't solved it somehow anoints alternative medicine--which has never empirically shown any effectiveness beyond what you'd see from placebo--as the savior?
The whole point of this article is that it's fine to try something "different", provided you follow a couple baseline rules: first, you go the peer-review route. You do a double-blind clinical trial, you perform the analysis and see that your method works significantly better than placebo and has improvements over the current state-of-the-art, and then you market it publicly. If (and this is a big "if") Burzynski is going this route, he's doing this step entirely backwards, which is ethically suspect at best. Second, you let the data speak for itself, not the lawyers. You sue people who slander you, not your work. If your work is being called into question, you debate it scientifically, just like in the peer-review process.
It's the fact that Burzynski is failing hard on these two points that's getting him into trouble, not the supposed shortcomings of the modern medical industry.