To live and to not let live
When the Europeans went to south America, within a generation the local/native population had plummeted by 90% or so. This was not due to war or genocide or ethnic cleansing, but because the locals, due to not having previous contact, had not developed immunity to European diseases.
To "win", the Europeans just had to turn up.
So, where does that leave the concept of "live and let live"?