Justice Ginsburg is not responsible for the decline in American jurisprudence; she is just the most visible manifestation in recent history.
It began with the liberal justices appointed by Roosevelt and others that approved school busing, abolished prayer in school, and more. Ginsburg wasn't on the Supreme Court when the worst travesty, Roe v Wade, was ruled upon in 1973. Seven justices voted that because of the "penumbras and emanations" in the Constitution, there was an implied right to privacy, and therefore abortion as a Constitutional right. These are well-known justices: Burger, Brenna, Stewart, and Douglas.
Impeaching Ginsburg is not an option; the trial in a GOP Senate would be so intensely political that no good could come out of it. However, a campaign in the media, that her opinions violate her oath to "uphold the Constitution of the United States" might be enough to force her to crawl back into her cave and stop being so visibly leftist.
Ginsburg is of that generation of secular Jewish Americans who feels that the purpose of the judiciary is the romantic application of common sense to the interpretation of the law. That is why they have no compunction legislating from the bench. Sure, they took that dumb oath to "uphold the Constitution" but after all, the oath is just routine, right? Also, Ginsburg's generation of secular Jews was raised in the socialist and communist milieu of New York City in the 1930s, where leftist notions were discussed over the dinner table with parents who emigrated from Russia and Germany, the intellectual source of socialism and communism.
Don't get me wrong -- I can't stand Ginburg's opinions. But impeachment would be a very, very bad decision unless there is a national consensus, not just a Republican consensus, that she has to go. And such a consensus would only happen if there was a national crisis that resulted from one of her decisions.
Again, she is a cancer survivor ~ so far ~ but the question really is will she live long enough to allow us to fill her seat on the bench, or will Obama get another shot at putting in a younger (if not healthier) doppelganger for this old'gal.
I think I'd rather have Newt filling these seats.