Which I realize is a bit Zen ...
Now, if the constants ever *do* vary, there goes the weak anthropic principle and the need for the "many universes" (which is not the Everett "many worlds" hypothesis, btw). I read an article by the atheist Larry Krause where he admitted to another atheist that the "many universes" idea was attractive mainly because it eliminated the embarrassment of the weak anthropic principle.
True. Think about how gravity influences and thus, distorts every measure of mass on earth. When Astronauts are in space, they float, bounce and drift. The amount of oxygen in the air may also effect the physical distribution and affects of measurement.