What about the Israeli nuclear weapons? If I recall
correctly it was close in 1973, the did have the capacity
to take out Damascus, Cairo and Amman, after that the
Arabs would likely surrender.
Nope, after using the "Samson Option", as the use of said weapons, was called by the Israeli's themselves, Israel effectively "dies" as a state, as in response to these acts, the Soviets in Egypt would have turned over the warhead arming keys, to the nuclear armed Scud-B IRBM's, and Luna (FROG) -7 tactical rockets already in theatre at the time, to the Egyptians...
As a result, at least the Dimona complex, which produced said weapons, gets the "Radioactive Glass" treatment by the Egyptians, & Tel Aviv gets nuked, in retaliation for Cairo's destruction...
In addition, every other state in the Middle East, immediately declares war on Israel, for it's "Barbaric Act's", including Saudi Arabia & Iran, which are America's other main allies in the region, putting the U.S in a extremely difficult diplomatic situation....
Note: By this time, the Soviets have informed the U.S, that any attempt by them to interfere in this, will be counted as a "declaration of war" by the U.S, on the Soviet Union and it's allies, effectively starting World War 3...