There have only been 3 sitting US Senators elected President - zero from 1789-1916, 3 since 1920. Two of the three were elected during their first term - Harding and Obama.
The track record is not encouraging. The skill set for talking yourself into the US Senate is useful for BECOMING President, but it sucks for actually BEING President.
The President, among other things, manages 2.1 million employees of the Executive Branch. It's a safe bet that, when and if a conservative takes office, that 85%-90% of those two million plus employees will be bitterly and irrevocably opposed to him, and will do everything possible to oppose and to frustrate him (remember, they can't be fired).
This calls for a person with an outstanding track record as an administrator and as an executive.
Apologies to you and to Senator Cruz, but you're fishing in the wrong pond.
The air-traffic controllers thought that too. Ronald Reagan proved them wrong.
A Cruz Presidency would be all about management, as in the people he selected to run various departments. They'd need to be strong and tough, as would be the case for any conservative President.
And it's safe to say that in a number of cases, a President Cruz would look at the Constitutional viability of a number of Federal agencies (Education, EPA, Energy, etc.) and hopefully act accordingly.