I have been part of meetings run by consensus, and meetings run by Robert's Rules. Consensus is VERY coercive. In a regular Parliamentary Meeting, I am never denied my right to voice my objection, maintain that the majority is wrong, and yet submit to the will of the majority. The most fundamental right of any minority, is the right to stand by and let the majority do what it will without ever letting go of their personal belief that the majority is wrong.
Consensus equals government by the stubborn, and encourages people to act as rubber stamps.
While I think majority should decide they insist on consensus.