Some teachers work for the Government but there are a lot of private schools in America, too. Anyway this is an example of a straw man argument: no-one is seriously suggesting that arming School Teachers so that they can protect school children will suddenly transform them into a Government paramilitary force dedicated to suppressing our freedoms! The Teachers in Public Schools work for the Government, they are not part of the Government.
The question is a deliberate falsehood, as is that pseudo-psychology piece by Tim Wise: The reason he thinks guns are dicks is because he is a dick. Linking to that garbage destroys whatever credibility you had left.
“Real men don’t need guns?” Real men hunt deer, pigs and goats: you could do that with bow and arrows I guess, but most real men will stick to rifles.