Impeachment is given specifically to Congress to do. You’re comparing apples and oranges. Nice try at running from the FACT that you cannot find a single place in the Constitution that gives Congress the authority to determine Presidential eligibility.
As I’ve posted several times over the years: The Election certification process *is* Congresses method of affirming eligibility. You have not presented a strong enough argument against that.
Go back to my hypothetical. Read it, analyze the consequences of each, then perhaps you’ll understand why it’s purely a political process at this point and that SCOTUS can do nothing about it.