Earlier quoted context omitted.
Your estimate of "a couple of rednecks" is off by orders of magnitude. There are millions of AR-15's in private hands in the United States. Those are just a fraction of the 300 million privately owned guns in the US. This country is armed to the teeth.
Still wouldn't do anything to a malicious government controlling the army. And for overthrowing government you don't need to be armed - see dozens of examples all over the world - the army is made of citizens as well after all. So, no, it doesn't make any sense in the current age to say you own guns to protect yourself from the government.
Except that an army cannot fight on 10 fronts at the same time. When you have a whole country turning against you, you can't be there at every single place every second with a regular army. On the contrary a regular army would be beaten up in no time.
You also have to take in account that it's much more likely there would be rogue generals turnings against the power in place so general + armed people is a good catalyst.