[HarleyLady27]

So the Senate would have to bring it up to have him removed?

That shouldn’t be to hard, Mike Lee is the only one in there that likes him, oh and Linda of course, but Mike Lee is being investigated by the Utah State Attorney for his and Harry Reid’s part in the Jeremy Johnson trial here in Utah...

[Publius]

The US Senate could, by a two thirds vote, expel him. However, such an action would not be taken unless some kind of criminal malfeasance came to light.

The Senate has its own way of dealing with senators that are hated by most in that body. It's known as ostracism, executed by handing the annoying senator lousy committee assignments and then finding someone to primary him in his next election.