Does the antecedent "that" refer to "Egypt's government's responsibility and leadership"?

Does "that has long made this country a cornerstone of regional stability and peace" mean "Egypt's government's responsibility and leadership has long made this country a cornerstone of regional stability and peace

Context:

"This is a critical moment for the region," Secretary Clinton said as the agreement was announced. "Egypt's new government is assuming the responsibility and leadership that has long made this country a cornerstone of regional stability and peace."

More:
http://www.csmonitor.com/World/Middle-East/2012/1121/Tentative-ceasefire-agreed-between-Hamas-and-Israel