Console games typically have a minimum possible input lag of 60ms, and once you add in the controller response time, TV refresh rate, and the design of the game's engine, it's common to have 100ms or higher. For example Destiny on PS4 has a minimum input latency of 100ms ( http://www.displaylag.com/destiny-lag-factor-review/ )
Point is, consistent input latency is much less noticeable than people seem to think. When people complain about lag they're usually complaining about spikey/inconsistent lag. Consistent 150ms is not a killer. There are billion dollar games that have shipped with worse.