Science for Non Scientists...
"If we go back 50 years, the consensus among scientists was that Continental Drift, Plate Techtonics, whatever you like to call it were a myth. "
Stop lying. No scientists ever referred to it as a "myth."
That's the difference between you and scientists: They revise their beliefs based on scientific research and evidence.
"Go back even further, and the consensus was that the World was flat, and if you went West far enough, you'd fall off the edge."
Those were your people who believed that: Primitives who based their beliefs not on science but, rather, on what made them feel good.
The paradigm of a spherical Earth was developed in Greek astronomy, beginning with Pythagoras (6th century BC). The misconception that educated Europeans at the time of Columbus believed in a flat Earth, and that his voyages refuted that belief, has been referred to as the "Myth of the Flat Earth." In 1945, it was listed by the Historical Association (of Britain) as the second of 20 in a pamphlet on common errors in history.
So there was never a time in which scientists believed that the Earth was flat.
So are you rejecting modern scientific consensus that the Earth is spherical in much the same way that you seem ready to reject modern scientific consensus that AGW is a real threat?
"And they had good science to prove it, too."
Again, your ignorance of science is showing. Early skepticism revolved around a lack of detailed evidence and a force sufficient to drive the movement. Once the evidence was produced and the explanation of the force developed, scientists quickly accepted the theory of Plate Tectonics. Much as they have accepted the theory of AGW based on the evidence and the explanation for the mechanisms behind it.