The threshold the Israeli authorities have set for the use of a nuclear weapon is dangerously low.
Israeli strategic thinking has long been shaped by the fear of an existential threat. Unlike most nuclear states, whose doctrines revolve around deterrence or competition with other nuclear powers, Israel’s security narrative is rooted in the belief that the country could face destruction if a war turns decisively against it. Israeli leaders have repeatedly framed regional conflicts — from the wars of 1967 and 1973 to present confrontations with Iran and armed groups in Gaza and Lebanon — as struggles for national survival. That mindset matters enormously when nuclear weapons are involved.
Both of your examples absolutely should, Mongolia is resource rich and insanely underdeveloped, that will be a target of imperialism in short order if they don't. The Philippines are more or less under US control already but if they had nukes they sure as shit wouldn't be. Until no one has nukes the countries with them cannot be trusted to act in good faith any longer. The US, Israel, and Russia have demonstrated that with both Ukraine(who had nukes and then gave them up under the pretense of protection from the largest threat to them with nukes - Russia) and Iran.
Get nukes if you want to keep your people safe is the message of geopolitics over the past 20 years. I dont like it but its the correct strategic position if you are attempting to safeguard a nation. Its fucked up but its the reality of the situation.