Good luck getting a constitutional amendment abolishing the Senate passed by 2/3 of the Senate and House and 2/3 of the states.
Of course, the Constitution now says whatever 5 out of 9 Supreme Court Justices say it says. If the Supreme Court can discover previously unknown constitutional rights to sodomy and homosexual marriage then there is no telling what else they may find.
If I remember correctly, the one area that can’t be altered by amendment to the Constitution is that each state is entitled to two senators. If he wants to get rid of the Senate as it now stands (each state is equally represented) you have to get rid of the whole Constitution.