Initially I thought I was going to get it MUCH sooner, but I screwed up. I could easily do this on Immortal or Deity as well, which I will try next time. This was done on Standard game speed just to see if the strategy works. This is a lot harder to do than it looks, as most of the great cultural buildings happen much much later. The Cristo Rendentor is absolutely necessary. I didn't get the Oracle, or the other wonder that grants a free policy, which greatly slowed me down.