Many theologians disagree that the bible says the earth is young. I'm sure we would go in circles about this theologically, but it can easily be settled by looking at the earth with the scientific tools that God gave us. While the creation of the earth may have been a miracle, the history of the earth can be studied through science.
They do, but virtually all of them admit they do so because of modern science. I can give you numerous quotes.
How much evidence is there (whether scientific or not) that contradicts the story of Jesus rising from the dead?
Medical science states that people dead for three days cannot under any circumstances be revived, let alone be walking around preaching. If you go and see a doctor, he's going to treat you based on the science they've conducted with all the patients that come before you. That's how medical science works.
...strangely a whole bunch of different dating methods all converge on the same conclusion. You'd think they would all give wildly different results. ...
Actually, I've heard of dating methods varying wildly. Then again, even if there is agreement with some methods that's also be expected, if indeed a miracle happened. If Jesus created wine instantly, there would be several factors that may lead one to a false view of its age. There would also be other anomalies that may suggest it is not old. Perhaps the contain it was in wouldn't show signs of containing wine for a long time. Then skeptics would immediately assert that the wine must have been recently poored into a new container, and the debate would go on and on. Creation scientists, BTW, point to these anomalies all the time:
1. Receding Moon - 750 m.y.a. max
2. Oil Pressure - 5,000 - 10,000 years
3. The Sun - 1,000,000 years max
4. The Oldest Living Thing - 4,900 years max
5. Helium in the Atmosphere- 1,750,000 years max
6. Short Period Comets - 5,000 - 10,000 years
7. The Earth's Magnetic Field - 10,000 years max
8. C-14 Dating of Dino Bones - 10,000 - 50,000 years
9A. Dinosaur Blood and Ancient DNA - 5,000 - 50,000 years
9B. Unfossilized Dinosaur Bones - 5,000 - 50,000 years
9C. 165 Million Year Old Ligaments - 5,000 - 50,000 years
10. Axel Heiberg Island - 5,000 - 10,000 years
11. Carbon-14 in Atmosphere - 10,000 years max
12. The Dead Sea - 13,000 years max
13. Niagara Falls - 5,000 - 8,800 years max
14. Historical Records - 5,000 years max
15. The San Andreas Fault - 5,000 - 10,000 years
16. Mitochondrial Eve - 6,500 years
17. Population Growth - 10,000 years max
18. Minerals in the Oceans - Various (mostly young) Ages
19. Rapid Mountain Uplift Less than 10 million years
20. Carbon 14 from "Old" Sources - 10,000 to 50,000 years
21. Dark Matter and Spiral Galaxies -100 - 500 million years (max)
22. Helium and lead in Zircons - 6,000 years
Source
Naturalists then counter with alternative explanations for the anomalies and insist there's must be preferred. I've heard alternative explanations for all of these. That' doesn't mean they are correct.
If the earth really is young via a miracle of God (creation) then we would expect to see data that shows an apparently older than actual age. We would also expect to see anomalies like the ones listed above.