Trump lacks tact, he lacks maturity, he's a bull in a china store...hardly the Eiptome of Alpha male.
This is an example of how people have tried to make "alpha males" into perfect human beings, which they are not. At least early members of the community recognized this, moreso than they do now. They realized that many alpha males were actually @ssholes, jerks, and sociopaths. They don't have to be, but they may well might be. Alpha males are just people, who have risen to a certain position either by luck, or through their own skills.
Alpha males do not have to be people that you would like. They do not have to be mature. They do not have to possess admirable traits. They do not all possess identical traits. They do not have to be good people. And you certainly don't have to agree with their politics.
I don't know or care if Donald Trump is an alpha male or not, because I think the obsession the Manosphere has with "alphas" is ridiculous. My guess would be that he is, however, considering he's rich, and he's the president.