As Dr. Conrad Murray's defense is about to present its case in the Michael Jackson death trial, RadarOnline.com has exclusively learned that the embattled cardiologist's lawyers are fighting with each other!

Ed Chernoff, Dr. Murray's lead attorney, is from Houston, Texas, and had been staying with another member of the defense team, Michael Flanagan, to save his client money.  But he moved out from Flanagan's posh digs in San Marino, a week and a half ago.

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"Ed didn't like the way Michael was handling the prosecution witnesses. Ed felt that Michael was too abrasive and caustic with his questioning, and that Michael allowed witnesses to clarify points that only helped the prosecution's case. Things were getting very tense, and he's moved into a hotel in Santa Monica," a source close to Dr. Murray tells RadarOnline.com exclusively.