Appeal Against Relocation Judgment Delays UK Recognition: My 'ex' is appealing a court judgment granting me permission to relocate to the UK with our mutual child. Can I get the judgment recognized in the UK and a residence order there?

Not while the case in Israel is pending appeal. A judgment must be unappealable and final before it can be recognized by a 'mirror order' in the UK, and a residence (custody) order obtained there.
Abduction From Israel