There are many schools of thought on what a government is for or should do and most people do not ascribe to the notions you are presenting as fact.
It doesn’t matter what you think. Governments are expected and set up to do much more than that around the world and that’s because that’s what their intents are. It’s not just those three things. If what you said was true, we’d have had no meaningful progress on anything.
You can deny it all you want, denial ain’t just a river in Egypt