*looks at western celebrity culture, especially the fate of many/most child actors*
Right, although that brings its own series of long term issues, and let's not even begin discussing how the US take care of its veterans besides that it's very much depends on a number of variables and it's complicated.
Although in the context of the East, said rewards are a double edge sword. Take for example how the PRC treat their Korean War veterans: all, and I mean all, their medical costs are fully covered by the government, for life. Guess what happens? After much of the medical industry privatized guess what happens? The fucking hospitals decided in many cases to squeeze as much money out of the government as possible by shoving as much meds and treatments on said veterans regardless whether they really needed or not, in many cases causing early and untimely death.
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Bet the US military will regardless try to influencing magical girls' awakening. This is the 60s we're talking about after all, when men stared at goats because the CIA thought it's gonna net them psychic powered individuals or something like that. Or LSD gives people powers.
It's the 60s man!
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Never underestimate social and mental pressures. After all, said magical girls do not exist in a vacuum, and were part of society...
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I foresee various hardcore communists (and run of the mill authoritarian) governments actually having their own batch of brainwashed and crazy magical girls. Remember, a lot of the executioners in Pol Pot's regime were kids and teens, also the Red Guards in the Cultural Revolution were young people...
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Guys, guys. You have to remember that wherever the magical girls popped up they are still very much the products of whichever societies they reside in, probably with all the baggage that implies.
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To follow up on that, Jesse Owens was treated better in Germany during the 1936 Olympics* than he did back in the USA.
*sure, the facade is fake as fuck, but it's still rather telling that the USA couldn't even hide it's disdain towards blacks even when said blacks were winning glory and honor for it.
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We're talking about females in most likely a mental state of turmoil (teens, duh) suddenly given extraordinary powers and expected to fight extraordinary threats, which the societies they reside in may or may not even recognize.
It's gonna be a clusterfuck.
Now the sensible thing for governments (and society) to do would be to amass a truly massive support and logistical network to support their magical girls, to recognize their struggles while at the same time strike a balance (i.e. not turning them into idols* or icons*, don't let that power and fame get into their head). Societies would need to revamp to become a lot less misogynist for a start, and a bunch of other things...
... suffice to say, quite a few governments and societies won't make it in time. Sucks to be them (or they had it coming, depending on how charitable you want to be).
*let's not talk about the toxicity of Japanese idol industry or how American child actors usually turn out. Luckily the 60s was before both of those things were in full force.
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If a government knows what's good for them, they will do their best to ensure the publicity of the magical girls is good, even if it means to betray their moral and ethical codes at times.
After all, the fallout from banning infowars is far less than NY city going up in flames by the monsters of the week.
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Still, there's the hurdle drafting underage females when the dominating culture of the time being some flavor of "get back in the kitchen."
Also perhaps the first cases well be dealt with more akin to disease outbreaks or foreign/unknown invasion, which means the CDC and CIA will be whisking the first magical girls away to... nope, don't want to finish that thought. I don't want to know what the government is planning on doing with them at Area 51 when this is still the same government that was still doing horrifying stuff like the tuskegee experiment.
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Take for example the Culture Revolution in the PRC during the late 1960s-early 1970s. In OTL when the Red Guards went out of control the military managed to step in and, well, not necessarily bringing things back under control... ITTL, given that the Red Guards OTL was a youth movement where do you think most of the magical girls will end up affiliating with? Especially when you realize how many magical girls would have a vested interest in taking down certain aspect of traditional Chinese culture (the insane levels of patriarchal misogyny for a start, which OTL ironically came right back after the Cultural Revolution ended, amplified through the one child policy (but that's another story, which we won't be talking about)).
So it's not inconceivable that the PRC might end up becoming a revolutionary socialist magical girl state, which on a scale of Mao to Pol Pot it'll probably lean towards the latter. Foreign intervention probably won't occur in the short term, because no one wants to stick their dick into that level/scale of crazy. Expect a truly horrifying bodycount over the decades, with a best case scenario of internal collapse and more senseless death, but also the possibility of an even more horrifying possibility of them attempting to export their revolution to the rest of the world via violent means...
What a time to be alive die!
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This assumes that bullying and bullies are logical in their decision making, and will weigh long term costs and benefits before acquiring a target...
... I can assure you kids (and even adults) don't think that way. They're gonna pick on the ones that rub them off the wrong way, logic be damned until it's too late.
Also don't forget that many bullies are actually very good at the social game and playing the victim, which would really put the magical girls in a bad light if/when they do snap.