I don't really know if the IANA should be managed by an international body, but the fact that Ted Cruz and the President of National Religious Broadcasters are in favor of this bill automatically make me think this bill is trying to prohibit speech or invade privacy. And the fact that "President, Americans for Limited Government" is supporting maintaining government control of the Internet makes it sound like standard right-wing hypocrisy. And the fact they frame the bill as an attack on Obama makes it even more suspect.
If ICANN is intentionally lobbying people like this, it automatically makes me think that it should lose the contract, regardless of the quality of their actual stewardship.