I was able to resolve the problem.
I was using Safari 7.0.1 and I think it was aggressively caching the page, not even reloading everything after I forced a reload.
I was able to solve the problem by trying a different browser. In a different browser all the links worked.
As I type this, I realize this explanation doesn’t make total sense, because even from different pages the links wouldn’t work, and the links were obviously updating as I changed them.
Whatever the reason, the links appear to work fine in other browsers. I’m hoping that given some time, whatever is causing safari to not work properly will be erased and Safari will start working again. Safari on my iPhone loads the page properly…so it should be working fine for other people if not for me