No. The fundamental flaw in this reasoning is the assumption that overwhelming victory is what established the current world order.
Rebuilding Europe via the Marshall plan, which involved humanization of individuals who fought on behalf of evil, is why there is peace in Europe. Likewise, the US reconstruction of Japan is why the US and Japan are at peace.
The US held the position of power and chose not to exercise it tyrannically. That is why there is peace.
The native American case is much closer to supporting your argument because genoicdal efforts were made against them and they were forced to submit, and then tyrannical power was exercised over them, maybe even to this day. However again, Native Americans participate in American civil society, there have been (probably insufficient) efforts for reparations, they do have land where they administer their own laws. In some locations native American heritage is celebrated and native American culture is promoted.
There is relative peace with native Americans because we are not particularly tyrannical, and I would say for the most part, modern Americans see Native Americans as humans not "savages."
Seeing your enemies as equally valid humans, who might have done things you would do if you grew up under their conditions, is what creates peace.
Peace is a function of humanization, not a function of victory. Victory without humanization does not end the cycle of violence.