In fairness, Trump's tweets are not about actually doing anything, they are more about getting votes. So arguing the feasibility of suggestions outlined in a Trump tweet kind of misses the point.
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Trump is very much saying he believes looter should be shot.
Though laws vary widely in the US, in CA the punishment is about a year in county jail, give or take:
I get that this is emotional, but that was not warranted. The rioters have destroyed the historical records of a Native American tribe and I'd like to think that they've suffered enough. The point was to show that it's not only cheap Target things being lost here.