Is Senator Ted Cruz a Traitor?

Full Definition of  TREASON:

1)  the betrayal of a trust : treachery.

2)  the offense of attempting by overt acts to overthrow the government of the state to which the offender owes allegiance, or to kill or personally injure the sovereign or the sovereign's family.

If these are accepted definitions, courtesy of Merriam-Webster, I wonder if Ted Cruz could be viewed as a traitor?
Cruz advocated for the shutdown of the government of the United States; it would seem like a fine line between overthrowing and shutting down a government. One can argue it was his goal to remove, or eliminate the government of the nation to which he owes his allegiance (not Canada in this instance).
In addition, he knowingly advocated an action he recognized would cause great financial harm to the Republic—and to its citizens. Among the many voices calling on Cruz and his cronies not to pursue this course of action was the editorial page of “The Wall Street Journal”—hardly a mainstay of liberal ideology. Yet Cruz recklessly and knowingly pursued actions that delivered a $24 billion dollar blow to our nation; certainly weakening us in the eyes of potential enemies.
Given the fact that his net worth is estimated between $204,951 (hardly plausible) to $3,526.994, Cruz certainly wouldn't feel the economic pain he’s more than willing to inflict on his fellow citizens.

Ted Cruz has clearly established his reputation as an opportunistic bully—opposing aid for the victims of Hurricane Sandy, taking an incredibly hypocritical stand on immigration reform (this native of Canada opposes a pathway to citizenship for undocumented immigrants, and urges construction of a massive border wall—while still failing to prove his U.S. citizenship), lobbying for the gun industry, and vilifying gay Americans. He also made the outrageous comment that Chuck Hagel’s nomination as Sec. of Defense was “celebrated by the Iranian government”. In fact, his behavior and line of questioning throughout these hearings drew widespread condemnation and fitting comparisons with Joseph McCarthy.
Even if one were able to set aside these and other “highlights” of his short reign of terror in the Senate, the question remains… has Ted Cruz engaged in treasonous acts against the United States of America?