The most popular miner right now is the Antminer S9. It consumes 1372 Watts / 14TH.
98 Watts / TH, and the current total Bitcoin hash rate is just under 50,000,000 TH/s. This means that the entire Bitcoin network (all miners) are consuming 4.9 gigawatts.
It's hard to find stats on how much power Las Vegas uses, but NVEnergy reports that North + South Nevada use 7.8 gigawatts, and some other articles estimate Vegas alone at 8GW. So, not quite but definitely close.