Then you admit that the Exxon drillers must succumb to the land owners. The right to be left alone and leave the oil right where it is excludes meddling by Exxon or any other technology company or nation. You're arguing in circles.
If there's oil in a zit on my forehead, you would argue that Exxon could "peacefully extract" that oil as long as they didn't intend to violate my rights. After all I left it there as a big white-headed invitation for Exxon to come pop it and turn it into gasoline.
Horsehockey. It's their nation. It's their desert. And it's their oil. They can leave it in the ground if they wish. That's what I intend on my property and I have had offers to come and get it. Thankfully I secured the mineral rights. The oil stays there as long as I retain those rights.
The Exxon drillers must submit to the owners, yes -- I never argues otherwise. They don't have to submit to the government that happens to have the jurisdiction of unowned land.