The US military doesn’t decide presidential elections.The states all put Obama on the ballot. He won the popular and Electoral College vote. Congress certified the election without a single dissent. The Chief Justice of the US Supreme Court swore Obama in.
He is the President, and all of his orders are backed by Congress, which funds the deployments.
I suspect the Kenyan parliament has been told to shut up and they will get billions more in aid. (Not black mail, we are just flush with cash and cant find a place to put it. So its a Win Win.)
Our Presidents home country will get more American Aid, and that's always a good thing. If the presidents home country fails economically or goes to war, we would certainly need to come to their Aid and defense. How would it look if we neglected our Presidents home country? Petty, and Not good.