I tried a couple of games last night with the Ice Age settings. I was interested to see what Emperor level is like, and also what are the chances of building the Pyramids, and founding early religions on this level. So my research was polytheism->masonry->monotheism. After that it was techs to allow my fast worker to do his stuff, to have archers for defence. I didn't chop or whip, so that I could see whether it was possible without (and anyway I wasn't researching bronzeworking early).
The first game I settled on a plains hill by floodplains. No special resources at all. I built a second warrior then set build to stonehenge. My city was limited to size 3 by health due to the floodplains. I got to Hinduism first, then when I got masonry, set build to Pyramids and research to monotheism. I got to Judaism first, and got the Pyramids. By this point I was surrounded, but with Judaism and a Great Prophet from Stonehenge building the special building, the nearby Civs were all Jewish so I was able to maintain good relations. There was nothing in my city area except farms and mines, so I didn't care too much about being pillaged because of my fast worker. I joined in any wars that my friends were having, and if anyone attacked me set my friends on them, eventually getting pacts signed. By running specialists and representation I could keep up with tech, with the aid of a steady stream of great persons, until the late game, when I fell behind. My huge culture resulted in one city flipping to me, giving me a grand total of two cities! In the end one of my friends declared war on me

I had forgotten to renew defensive pacts with the others, so resigned.
The second game I had sheep and deer in radius, plus some hills and forests. Research path was the same, but I didn't build stonehenge, getting a fast worker instead. I got Hinduism, missed Judaism, and have just built the Pyramids, just by working deer, mines and forests. City size was 4 due to happiness.
So far, it seems that getting early religions and wonders on these settings is possible, even without chopping or slavery. Barbarians were not a big problem despite only having warriors. Fast worker helps as he can rebuild anything that gets pillaged quite fast, and can nip out of the way if threatened. The drawback is lack of early expansion.