Though pleased with Obama's meeting with Palestinian President Abbas Thursday, they are waiting to see if the US president will break from decades of failed US policy on the Israeli-Palestinian conflict.
The US and Israel agreed this week to establish a joint committee on how to implement a freeze outlined in the 2003 road map.
Amid Netanyahu's Washington visit, human rights groups say the city's new mayor has presided over an increase in initiatives that could thwart Palestinian statehood.
Khouloud el-Faqeeh is part Judge Judy, part Sunday School teacher.
He was politely received at Muslim holy sites in Jerusalem Tuesday, but clerics, judges, and Hamas representatives want stronger statements on Israeli policies and Palestinian suffering.
Peace envoy's trip is part of sweeping effort to demonstrate a broader US approach toward regional peace.