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Effects on Israeli politics? I think that the religious right would never have as much influence as they do OTL thanks to the current PR setup. Friedman and Wiki give exhaustive lists of things that they've thrown monkey wrenches into over the years. If Likud allies with them like they did IOTL, it'll be voluntary rather than "put a kosher kitchen in X Ministry by Y Time otherwise Non-Confidence Motion Z will be introduced"