As usual, the amazing devs in our Android community have done the impossible! Previously, the OTA Android 4.1/Jelly Bean update for the Motorola Droid RAZR and RAZR MAXX were called, "unrootable." Of course, when good devs, like Dan Rosenberg, see this word, they reply with "challenge accepted." The OTA Jelly Bean update for the Droid RAZR has been rooted, and the method is remarkably simple, only requiring you to connect the phone and run a .bat file. Here's the source link below for more detailed instructions and download links.
Thanks for the tip, androidlearner!