You cannot really believe that.
At every point in world history (Especially modern), the most peaceful times have been when one superpower operated a hegemonic influence in its immediate area.
Rome, the Mongol Empire, the British empire and now, the United States. Superpowers one and all that operated with practical carte blanche and oversaw the most prosperous and peaceful (Yes, peaceful. Compare the wars seen prior to the British Empire such as the 100 years war, War of Scottish Independence and the War of the Roses with the relatively tame French-Indian War and War of 1812) times in history.
When you introduce another superpower into the mix (Such as Russia) no matter how allied you may be at one point in time ("Let's kill Hitler") you will find yourself at odds over the differences you DO have.