Earlier quoted context omitted.
Worried about disturbing the ecosystem?
The moon is about 1/4th the size of the Earth, or about as wide as the United States. The moon also significantly impacts our tides here on Earth. Now, the optimist in me would say there's no way little old humanity could manage to find a way to screw that up. The pessimist in me notes that in roughly a hundred years we've managed to push our planet to the brink of ecological disaster, so to answer your question: yes…
Moon's mass - about 0.7x10^23 kgs
Global annual iron ore output - about 2.5x10^12 kgs (per [1])
One over the other - 2.8x10^10 years
So on the order of a billion years to remove one percent of it. And that's assuming we develop the same kind of demand for moon iron as we have here on Earth - so we have some time to think about it at least.
[1] https://en.m.wikipedia.org/wiki/List_of_countries_by_iron_or...