> You're not allowed to ... or remove the license agreement
No license agreement allows you as a recipient to ignore the license. At best, you can redistribute a "all right reserved" copyrighted work, while you yourself follows the license. At no point can you actually remove a license and then use it in a way that require authorized permission under copyright law.
You would also have a hard time finding such copyright license. Both BSD and MIT requires that the license are kept in all copies. Removing the license there would be as illegal as it would be to remove the GPL.
Simply put: if you get sued for copyright violation, its the license that the accused must raise in defense. Removing it is guarantied to be illegal except in rare situations such as wtfpl.