The Magna Carta and the U.S. Constitution did exclude many people, but the disenfranchised groups appealed to those documents to demand their own rights. It's not as if the rights of those groups were respected before the Magna Carta or the Constitution, so it's strange to say the Magna Carta "messed up the world". In general Chomsky is an example of someone who makes big contributions to specific field but has terrible judgement. Quoting the article:

'To be sure, the reach of the charter was limited. Nevertheless, as Eric Kasper observes in a scholarly review, “What began as a relatively small check on the arbitrary power of King John eventually led to succeeding generations finding ever more rights in Magna Carta and Article 39. In this sense, Magna Carta is a key point in a long development of the protection of rights against arbitrary executive power.”

Crossing the Atlantic, the Great Charter was enshrined in the US Constitution as the promise that “no person shall…be deprived of life, liberty, or property, without due process of law” and that “In all criminal prosecutions, the accused shall enjoy the right to a speedy and public trial, by an impartial jury.”

The wording seems expansive, but that is misleading. Excluded were “unpeople” (to borrow Orwell’s useful concept), among them Native Americans, slaves and women, who under the British common law adopted by the founders were the property of their fathers, handed over to husbands. Indeed, it wasn’t until 1975 that women gained the right to serve on juries in all fifty states.'