In a large business everything is top down and whether you like it or not you must abide by the decision. Not even Obama could command in that way. There are three branches. There are the voters. There are the permanent gvmt employees. There is the media. You have to be a politician that’s all there is to it. I don’t think a gvmnt run as a business would be any more successful than a business run like a democratic republic.
The voters do not work for the Government--and few issues are more important to me than disenfranchising those who receive unearned benefits from a level of Government, where their votes can be bought by those unearned benefits.
As for the other branches of Government, that has nothing to do with the question of how the Executive branch is run; nor is Obama a model for anything good. I imagine that he has run into some insubordination, since he has tried to misuse agencies for illegal purposes. There is nothing in his misuse of power that justifies any theory on the correct use of power.
With respect to that, to follow your business analysis, he would be the equivalent of a CEO, that a Board of Directors fires; or whom is sued in a shareholder derivative action for injuring the corporation by misuse of his position.