Could a court allowing a parent to relocate abroad from Israel with a child actually demand financial guarantees from both parents, not just the relocating one?

Yes! While, generally, the court will concentrate on the relocating parent providing financial guarantees, it may also ask the other parent to guarantee the return of the child/ren after the end of visitation. For example, in September 2005 Tel Aviv Family Court, in a case relating to the relocation of children to London, the relocating parent, the mother, was required to provide $60,000 to guarantee the father's visitation rights. The remaining parent, the father, was required to provide a bank guarantee of 100,000 NIS every time the children visited Israel, to guarantee their return to London.
Preventing Abduction