Conservatism is not unilateral.
There are social conservatives.
And fiscal conservatives.
And military conservatives.
And immigration conservatives.
And cheap labor express conservatives.
Rubio is very suspicious on immigration.
Cruz is weak on cheap labor issues (his votes on TPP)
Trump is a late comer to social conservatism.
Carson is very weak on immigration issues.
I agree with you that they’re many types of Conservatives. I have my suspicion that Rubio do not belong to any type of Conservatives that you listed. He’s a fake since he’s not putting up a fight for any issues Conservatives care about in Senate