NEW DELHI — The new Australian government is signaling a wish to turn its back on an initiative bringing four major democracies of the Asia-Pacific together, even as U.S. Sen. John McCain, the presumptive Republican presidential nominee, has vowed to institutionalize that venture.

Whatever its future, the nascent Australia-India-Japan-U.S. "Quadrilateral Initiative" symbolizes the likely geopolitical lineup in the coming years.

At a time when a qualitative reordering of power is reshaping international equations, major players in the Asia-Pacific are playing down the risk that contrasting political systems could come to constitute the main geopolitical dividing line, potentially pitting a China-led axis of autocracies against a constellation of democracies. The refrain of the players is that pragmatism, not political values, would guide their foreign-policy strategy. Yet the new Great Game under way plays up regime character as a key driver.