Not really, if you just gather all the people you commit atrocities against, and send them to the middle east, you might get away with it. Hell you might even claim to be a bastion of peace and freedom.
Some more ideas:
Call the people you sent “civilized” against “barbarians”
Call them “the only democracy” in the middle east (you might need to overthrow some government in the nearby regions)
Commit more atrocities so more and more people go to your “solution”.
No it’s not. Both the trolley problem and the prisoners dilemma are individual event thought experiments.
Real life is different, it is continuous. The rational choice for an individual event can be very different than a continuous one.
Take the prisoner’s dilemma (or game theory) for instance, it is the rational decision (nash equilibrium) to rat your fellow prisoner out but if you have to do it again and again, then the best strategy is to NOT rat out your fellow prisoner (only rat when they ratted you out in the last round).
Reality is often like this, and elections are also like this. It gets complicated real fast.