Supreme Courts have removed Executives
See North Dakota case Sathre v Moodie. This case has been almost completely scrubbed from the internet, but here is one reference. Perhaps someone with paid access like Lexis Nexis can verify.
http://charleslincoln3.files.wordpress.com/2010/02/state-of-north-dakota-v-thomas-h-moodie-1937.doc
I believe this is accurate because it comports with a legal reference which WAS available on google books but has since disappeared.
No court has ever tried to remove a president of the United States. North Dakota law won’t help. Our Constitution provides procedures for removing presidents. There’s been some discussion of impeachment, but I have real doubts about anyone really doing anything.