If England decided that any U.S. citizen at age 18 was eligible for English citizenship - would that render every American ineligible for the Presidency?
If China made a law that anyone with over 50% Chinese ancestry was automatically a citizen of China - would that render ineligible all Chinese Americans?
An answer to alternative question will provide answer to your question as well: If England and China passed such laws, could they force a person born in the USA to US citizen parents to serve in their military? The answer is No. Therefore, their laws do not apply to US natural born citizens.