@maxdancona,
First, you have to have the idictment, and it has to have a plausible basis. Second, you have to have a trial which is more than a rush to dump the man. Finally, you have to have an assurance that it would not open the floodgates of polemic revenge visited on any justice or justices who were not politically correct in the view of whichever party controlled the House and the Senate. The so-called nuclear option to end debate in the Senate is called that because neither party wants to encourage the other party to use a point of order to end debate. The constitution allows the houses of Congress to make their own rules of order, so the Senate's requirement of a "super majority" of 60% to end debate is perfectly legal in the constitutional sense. Since 1957, on several occasions, party leaders in the Senate (the first example was Richard Nixon, the Vice President, acting as the President of the Senate) have threatened to use a point of order to bypass the Senate's own rule. However, that risks the other party moving to block all Senature business, and to block all nominations if the President is not from their party. The two parties have always understood that because of precedent, and the desire for political revenge, they dare not push to rules too far.
The same applies in this instance. (Yes, i did think about how much the Democrats would relish the opportunity to get a Chief Justice appointed by Mr. Obama.) If once a justice were removed on a frivolous pretext simply to get the opportunity to appoint someone else, no sitting justice would ever again be assured of keeping her or his seat on that bench.
In the end, though, for an impeachment to proceed, there must be a plausible pretext to indict. Pissing off the tea baggers does not constitute a plausible pretext to impeach a justice. Whether or not people here who are Democrats or have sympathies with the Democratic Party are willing to acknowledge it, Republicans in Congress do have their own notions of integrity and probity. They're not going to make the House a kangaroo court, and Democrats with the same sense of integrity and probity are not going to vote to convict a justice on a flimsy pretext.