As one of the smaller factions, it has the least to lose politically from disrupting the calm.
By insisting on the release of prisoners from all factions, it has regained popular support across Gaza and the West Bank, undermining the Palestinian Authority midway through its UN bid for statehood.
The Taliban, or a faction of it, has been critical of the aid coordinator, accusing him of bias against them.
Each faction thinks it has received tentative commitments from those voting at least 40percentt of the shares.
Islamic Jihad is a small faction, but it has carried out many of the suicide bombings and other attacks against Israel.
MPs are due to vote on Groysman's nomination on Thursday, with the presidential faction believing it has enough support to secure a narrow victory.
A group calling itself the Nationalist Revolutionary Army Faction says it has blown up at least seven speed cameras on French roads and has demanded money from the government to stop, the police said.
Last year, he left Labor and created his own Independence faction, but it has failed to gain traction with voters, with polls suggesting for months that it would be likely to earn a seat or two at best in the next Parliament.
It has shown that it is incapable of controlling its own armed factions, and it has allowed for daily violations of basic human rights and civil liberties.
Regardless of Iran's nuclear program, they complain, the deal would do nothing to stop Iran from seeking to extend its influence around the region by backing favored factions, as it has done in Lebanon, Iraq, Bahrain and Yemen.
