Lights, camera, tension! Megyn Kelly and Savannah Guthrie got into a huge fight during their eight-hour coverage of Brett Kavanaugh’s Supreme Court confirmation hearing with the Senate Judiciary Committee on Sept. 27. “As the day went on, Savannah and Megyn got nastier and nastier, making little digs at each other,” an industry insider tells Life & Style. “When the live broadcast ended, the two of them exploded — accusing each other of talking over one another and interrupting!” Though another source denies there’s a rift, former Fox News superstar Megyn, 47, has struggled to make friends at NBC, where she’s the highest-paid anchor, raking in a reported $23 million a year. But “Savannah is the queen of NBC,” notes the insider. “And anyone who challenges her will not win.” Megyn’s…