1) Putin wants to maintain Russia's monopoly on natural gas exports to Europe. Israel's Leviathan deposit is going to weaken that, but if Putin has Israel as a dependent ally, he can still use control of the natural gas as a political weapon.
2) Russia has a huge land area and an abundance of resources, but is suffering from the same population crash as Europe. Ergo, Putin needs a technological edge in order to be a military power. Israel is the world's single greatest exporter of new technology.
3) Putin is allied with the Iranians over the Arabs. The Persians have historically been among the friendlier peoples to the Jews, current politics aside. Moreover, there have been rumors of overtures between the Arabs and Israel as Iran has developed its nuclear technology. If Putin can diplomatically neutrilize the threat of Israel taking out Iran's nuclear program, it leaves his Shi'a Persian allies in a great position to dominate and even take their revenge on the Sunni Arab states. This in turn gives Putin the chance to control not only the Eurasian natural gas supplies, but its oil supplies as well, including Israel's Tamar deposit.
4) Given his ambitions, I have to imagine that Putin would like to have Mossad working for him rather than against him and his allies.
All of which would accord very neatly with Gog and Magog.