After nearly four years of often testy relations with Prime Minister Binyamin Netanyahu, US President Barack Obama is about to try a different tack - going over the head of Israel's prime minister and appealing directly to the Israeli people.

What is the American counter-move? The Obama administration devised a scheme for a proposed Trans-Pacific Partnership that would exclude China. This magical sleight of hand is grounded in the imaginations of American policy-makers but not in reality.

Obama's comments to the General Assembly will be scrutinized around the globe and by the gathering of presidents and prime ministers in the famed United Nations hall, given the tumult, terrorism, nuclear threats and poverty that bind so many nations. He will respond to unrest in the Muslim world and seek to underscore U.S. resolve in keeping Iran from developing a nuclear weapon.

U.S. President Barack Obama Tuesday addresses the United Nations General Assembly, where he plans to say that violence is never acceptable.

Across the world his standing remains markedly lower in predominantly Muslim nations. However, Leila Hilal, a Mideast expert at the New America Foundation, said Obama may have made more progress toward improving relations than critics say."Obama inherited a very damaged U.S. credibility in the region," she said, and so it would be unrealistic to think that his "new beginning" would take hold fast.

This debate is broadly about American power. But power is a nuanced concept. It manifests itself both through military muscle and cultural influence. The candidates’ stump speeches rarely delineate this distinction. But global publics do. Recent opinion surveys suggest that people outside the United States question American hard power and increasingly embrace U.S. soft power.

Strengthening America’s brand. In Europe and most of the rest of the world (Muslim countries being important exceptions), the United States is significantly more favorably regarded than when he took office. That is bankable soft power.

But this week, some journalists over at the Agence France Presse have put together a neat interactive online tool, called E-Diplomacy, that shows which countries follow which others, how much social discussion is going on between various countries, diplomats, and world thinkers.