Cruz called the former Connecticut independent senator as a "strong" option. President Barack Obama hasn't named a proposed replacement for Hagel, who announced his resignation earlier Monday.
"One strong option would be former Sen. Joe Lieberman, a member of the president's own party with deep experience and unshakable commitment to the security of the United States," Cruz said. "I urge the president to give him full and fair consideration for this critical position."
Lieberman retired from Congress in 2012 and was once the Democratic Party's vice presidential nominee in 2000.
Many libertarian and conservative supporters were shocked that Cruz would want a neocon like Lieberman to replace Hagel.
Rare Liberty, run by Jack Hunter, posted a rebuke on its Facebook page: "This is as bad as saying John McCain or Lindsey Graham would be a good defense secretary. A huge slap in the face by Cruz to any libertarian who ever supported him. Right now, I'm ashamed I did."
For many libertarian Republicans and Independent voters, this move by Cruz is making Sen. Rand Paul a more attractive choice for 2016.
For those who don't want endless wars, Rand Paul's "Conservative Realism" maybe more appealing. Rand's philosophy falls between his father Ron Paul's non-interventionism and the neocons like Lieberman, McCain, and Graham. Well, I guess I would include Cruz in that group now too.Facebook, Google Plus, & Twitter. You can also get Freedom Outpost delivered to your Amazon Kindle device here.