This story is told in great detail in Professor Mark Rozell+óGé¼Gäós +óGé¼+ôSecond Coming+óGé¼-¥ book (141 et seq.).
Reagan's OMB head James C. Miller was running against Ollie North for the GOP Senate nomination in 1994. On behalf of Miller, Paul Laxalt wrote to Reagan and complained about North+óGé¼Gäós disloyalty to Reagan. (Meese was also backing Miller.) North in public had said Reagan was in the loop on Iran-Contra. (Rozell has copies of the letters described herein, according to his footnotes.) Reagan wrote back that he was +óGé¼+ôpretty steamed+óGé¼-¥ at North for being deceitful. The letter was made public (as Miller apparently wanted). The Post of March 18, 1994 has an article by Mike Shear on the subject, pp. A1 and A13.
After North won the nomination, both Meese and Laxalt supported North, despite his +óGé¼+ôdisloyalty+óGé¼-¥ to Reagan. Meese wrote an article +óGé¼+ôWhy I Support Oliver North+óGé¼-¥ in the Washington Times, June 13, 1994 p. A21; Laxalt's change was described in +óGé¼+ôLaxalt Shifts His Position, Backs North,+óGé¼-¥ Richmond Times Dispatch June 8 1994 pp. B1 and B6.
You see, it+óGé¼Gäós all politics, not about being true to ideology. Laxalt and Meese didn+óGé¼Gäót mind supporting someone who had been openly disloyal to Reagan (and in fact was placing Reagan in legal jeopardy) as long as, in the end, he wore a GOP label.
To them, what matters is that Allen is running as a Republican. They could care less about whether Jim Webb's ideas about Iraq and national defense would be applauded by Reagan.