Likely some of the details, even the mainstream thinking will change, and still be wrong after the change. My math does not go much beyond high school, so I often cannot check the work of the experts, so I don't know what will change, but there does seem to be suspicious comparisons. Please correct my tentative assumptions:
The moon likely has and had little effect on green house warming the past 3.6 billion years. Earth has always had some green house warming, otherwise it would be almost as cold as Mars is now. My guess is more green house gas might warm Earth 9 degrees f = 5 degrees c, but not much more, unless the atmospheric pressure increases drastically as at Venus which has about 90 times more atmosphere than Earth. I have not seen a graph or chart that shows the the amount of green house warming that results from higher atmospheric pressure, but I am quite sure Venus is hot, partly because it has a thick atmosphere. My guess is neither Earth nor Venus ever had "run away" green house warming of significance, as the hockey stick graph has been discredited in my opinion, but some positive reinforcement occurs.
No fossil evidence has been found for ice age at Earth the first 3.6 billion years = all the ice ages have occurred in the most recent one billion years, and only about half of Earth's surface was covered by the worst ice caps.
This is surprising, as the Sun produced only about half as much energy 4 billion years ago. This is the result of nuclear fusion math and theory, which was sufficiently correct to produce reliable fusion = H bombs.
It is difficult to measure, with extreme accuracy, the distance to the sun, because the surface is very hot plasma, but some reports of Earth moving a few millimeters per year away from the Sun have not be debunked as far as I know. A few billion millimeters does not put Earth lots closer to the Sun, but it could account for no ice ages the first 3.6 billion years. The recent recession from the Sun, if real, may be a recent change, but there is little reason to think the recession rate has changed much over the past 3.6 billion years. Some of this may be creationist's pseudo-science. Neil