Should I use CSS scaling to accommodate a browser resize on my website?

I see some websites remain static when the browser is resized and some that scale to fit depending on the window size. My question is what's the best to use and how would I implement both a static style or one that would adapt to a browser window resize.

The only information I could find that made it clear was that using max-width: 100%; height: auto; scales certain objects to adapt to a browser window resize. The thing is, it only works for some things not all. Here is my site, as you can see it's a bit of a mess. I would like it all tidied up properly like this site that I believe is static. However if answers can show me a way to make it scalable as well that would be great. But I assume having it static is easier.

Also if it helps here is a fiddle of a page from my site.

via Chebli Mohamed