The Constitution does allow for the removal of supreme court justices. It is falsely believed they are appointed for life. The Constitution states that the justices shall serve "during times of good behavior".
This means that they can be impeached even of no crime is charged or proven. Justices have to behave, not exemplary, just good.
I suggest reading then House Republican Leader Gerald Ford's letter to the speaker of the house concerning a petion to impeach Justice Wm. A. Douglas in 1970.
http://www.fordlibrarymuseum.gov/library/speeches/700415a.h tmOnly one justice has ever been impeached, but he was not removed from office. That was Samuel Chase in 1805.
http://en.wikipedia.org/wiki/Supreme_Court_of_the_United_St atesGlenn Flowers