Your friend is sly. I think your friend also leading the way to the literalist position of the future.
The simple and observable evidences of a very old earth are going to be harder and harder to overcome such as angular nonconformities, complex geology, layered basalt flows, massive nano-fossil deposits, river potholes. These are things that anybody who gets out much will encounter if sensitive enough to be looking.
One note:
Equinox writes:
*Very idea that there are “flood stories in all cultures” doesn’t quite fit - since everyone was supposed to drown.
Be careful, as the come back is that these stories are carried down after the tower of Babel, which explains the differences. You didn't say if your friend believes in Babel or not. As the fundamentalist say, once you start rejecting some things from the bible, now just where do you stop.