No...you have it wrong...Trump IS Vladimir Putin! He uses his experience from TV in order to disguise himself as Trump. In reality its Vlad! He's a multi tasker extraordinaire...he's running both Russia and America. If you'll notice...he's never in both places at once. You'll never see Vlado and Trumpo doing a presser together cause that would literally make the universe explode...two objects meeting one another at the same time and place...and all of that.
Anyway...that's the story. VLado is Trumpo and Trumpo is Vlado.