Israel has (according to rumor) several hundred nuclear warheads, perhaps even a thermo warhead or several, but no neutron weapons.
Only China has that type of weapon fully field tested - just ask around in the muslim villages in the western provinces about why they are so peaceful toward the Party and the PLA. They don't want to be sent the message for the third time ...
You don’t have to “field test” (on humans). The US certainly had them during the cold war, the whole point is that it is a normal nuke with a lot of the energy siphoned off to radiation. It does *not* leave buildings intact, that is a far-left fantasy intended as a propaganda point against NATO.
What it is used for is killing tank crews, fast and painfully, to stop large armor movements.
And Israel certainly also have strategic warheads, as well as the whole triad of delivery mechanisms. This isn’t exactly magic.