Oren Tamam, Moshe's brother, and Transportation Minister Miri Regev have demanded that Abu Mukh's citizenship be revoked.
"She was pardoned by Iran's Supreme Leader last year, but spent the last year of her term under house arrest with electronic shackles tied to her feet. Now they're cast off."
Bashir, 82, who was among Indonesia's most notorious extremists, is considered the spiritual leader of the al Qaeda-linked Jemaah Islamiah (JI) network.
An unnamed senior Hamas official said, “the ball is now back in the Israeli court.”
Australia and Moore-Gilbert have rejected Iran's allegations that she was working as a spy for Israel.
Qadri Abu Bakr told The New York Times that prisoners' families salaries would change to match the families' needs, instead of correlating to prison sentence. He denied the statement to Arab media.
In a moving Facebook post, Tami Arad recalled early years of hope and despair waiting for her husband to return home.
A source close to the Taliban said the group was willing to move forward so long as most of the 5,000 prisoners demanded were released.