Re: Governments can be terrorists, too. Example: Zimbabwe's Mugabe regime.
Lots of examples in which the government is terrorist. Latin America is rife with 'em.
Even more examples of when governments use terrorist organizations as their surrogates. One of the really cute examples in Africa was the US sponsored group UNITA with Jonas Simbabwe. Lots of these examples abound, so you point was not only apt, but was an understatement.