[7] Eldad is a professor of medicine, and was head of the plastic surgery and burns unit at the Hadassah Medical Center hospital in Jerusalem.

Prior to the scheduled Israeli withdrawal from the Gaza Strip and the northern West Bank in August 2005, Eldad was the only member of parliament to call for non-violent civil disobedience as a tactic in the struggle against the government.

Eldad even walked the few hundred kilometres between the now-evacuated community of Sa-Nur (in the northern West Bank) to Neve Dekalim (south Gaza Strip), in order to attract attention to the opposition of the Withdrawal plan.

[8] In the February 2006 dismantlement of the Amona outpost, Eldad was injured during the confrontation between demonstrators and police, as was his ally MK Effi Eitam.

[12][13] He organised a counter-jihad conference himself titled "Facing Jihad" in Jerusalem the following year that included a screening of the film Fitna by Geert Wilders.

In 2008, after Meretz Chairman Yossi Beilin submitted a bill to remove the Jewish settlers from Hebron, Eldad called the proposal "racist".

[21] During Mahmoud Ahmadinejad's visit to Lebanon in October 2010, Eldad stated: "History would have been different if in 1939, some Jewish soldier had succeeded in taking Hitler out.