I think it's worth considering a few things. Non representative voting can get a lot more unbalanced in a political system than America has it right now, look at the UK where I am. UKIP got 1 seat for 3.9M votes and the Tories got 11.3m votes and 329 seats. So this kind of boogeyman of potential violence and all that I don't think is realistic for where the states is right now, I'd wager things could get a lot worse for a long periods of time and nothing of any significance would happen.
There's also this kind of unspoken assumption that should the USA get rid of the EC and go by popular votes that the election results would be the same. That's not the case, you have to consider that both candidates knew how the system worked and went out to the areas they thought would most benefit them and campaigned there, heavily making use of the swing states. But had this been a popular vote then trumps tactics would not have been to campaign in the swing states, it would be to head for population dense areas and promise policy that entices them to vote for him.
Who is to say that Trump would have lost a popular vote if that's what he campaigned for, in fact it's plausible his win could have been even bigger with a popular vote, who knows? We don't know what he'd campaign for and what he'd offer or where he'd spend his time, these things would all certainly be somewhat different.
I think the take away point here is that these discussions come up not because of the relative benefits of each system but rather than the people who lost are salty and are coming up with any excuse. Which is why these assumptions and errors in reasoning are made, because the point isn't to be genuinely fair, it's just to do damage control. You could bet your bottom dollar that in another universe where it was Trump Vs Hillary where it was a popular vote and Trump had won we'd see outpouring asking that we have some EC equivalent to be in place to stop the kind of behaviour we'd see (campaigning in major cities almost exclusively)
And I have no doubt the same would be true for Republicans if they lost, there'd be plenty of salt and cries for more fairness and it'd probably be just as irrational. If you want to debate the EC the time isn't really right after a loss when everyone is about as bias and irrational as you can get, it should be away from major elections when there can be somewhat more of a reasoned discussion about the benefits and drawbacks of each system.