Ok, let's clarify a few things here.
Oh boy !!!
He had no right to violate the prime directive. Period!
Kirk was ordered by Starfleet to go to the planet, investigate the unusual energy reading and he was specifically ordered to contact the natives. How exactly was Kirk violating the prime directive?
We'v seen before that Starfleet contacts "primitive" cultures, so it
is allowed.
So why did Vaal warn them off, the antennas in Akuta's skull show that Vaal is capable of transmitting signals.
I'm sorry, what was Kirk stealing?
Akuta invited the landing party into the village, they were presented with a house and food.
Your forgetting something, prior to the attack on Vaal ...
they tried to leave.
Under common law, unless posted not to, you are allowed by law to come on to someone land, advance on the house and knock on the door.
If the property owner shot you while you were walking up the drive, they (and not you) are in the wrong.
Again Kirk was issued orders by Starfleet, Kirk mentions this in the first scene. What dictates are you referring to?
Why not ... based on what?
And just so we're clear, Kirk flipped the circuit breaker of a machine. That's all.
thus annihilating a way of life that had existed for millenia.
Other than no longer tossing baskets full of exploding rocks down a hole in the ground, what part of the natives lives was annihilated?
He had no right to violate the prime directive
It's Starfleet rule, and it was Starfleet that send him to the planet.
It's not like Kirk went there on his own initiative.
So apparently he did have "the right."