To the Muslim world, we seek a new way forward, based on mutual interest and mutual respect. To those leaders around the globe who seek to sow conflict, or blame their society's ills on the West – know that your people will judge you on what you can build, not what you destroy. To those who cling to power through corruption and deceit and the silencing of dissent, know that you are on the wrong side of history; but that we will extend a hand if you are willing to unclench your fist.
While the "unclench the fist" bit is clearly the best line in the speech, the use of the phrase "mutual interest" here was what caught my ear. Might just be wishful thinking, but that phrase sounds like an allusion to the power of trade to me.