IMO, "supporting" the current president means respecting his office, and giving him a chance, not automatically criticising every decision he makes and every word he says for nothing more than the fact that he wasn't the one you voted for or the one on your party ticket.

I do not, for one minute, think it means not criticising the president ever, simply because he is the president. I don't think anyone thinks that.

It simply means, to me, giving him a fair chance and a clean slate. Basing opinions on his actions, not on his party line.