The problem with Burma (UK), Vietnam (France), Vietnam (USA), Afghanistan (Russia), Iraq (UN/NATO), AFRICA (****ing everyone and mercenaries to boot), Afghanistan (NATO), Iran (Coalition), and now Syria/Iraq (???) is not one of ability, or necessarily plan, but one of commitment.
Insurgencies and terrorist insurrections operate on one premise: they can drag it out with more misery longer than intervenors are willing to stay. They don't have to worry about politics, fickle electorates, or dead bodies. In fact, dead bodies are a recruitment tool for them. They count on one thing that - as all of the above conflicts have in common - has been demonstrated time and again: Western countries will intervene with the best of intentions, but they will do so with restraint and for as little time as possible.
All of the above were "winnable" (militarily, they were all actually won) by the invading forces if they were willing to commit to an occupation. And by occupation, I don't mean 5 years. I mean 25+. Germany is probably the best example of a country where stability was reached after an entire populace was subdued, and it occurred because the Allies parked the divisional equivalent of half the bloody current armed forces of the United States into ONE COUNTRY, for YEARS. Then they got pulled into a military/espionage alliance and liberally sprinkled with foreign military forces, intelligence agencies, and diplomats. Today's stability in Western Europe and the reason we haven't seen yet another war caused by infighting amongst European nations? Military occupation, which led the groundwork for the EU as we know it today. Of course, that military occupation was only sustained because of the threat posed by the Cold War. Without it? Who knows.
Korea is another example. Unlike the other named above, UN-backed forces stayed in Korea to this day. South Korea exists because the UN-backed mission, led by the United States, refused to leave. And, to a very small extent, they're STILL there, 60 years later.
Back to modern insurgencies, it's not that Western power can't crush ISIS where they stand - it's that Western voters won't permit us to spend the money and resources, nor disrupt the lives of troops, long enough to do it. Winning against forces in Iraq and Syria in the short term isn't the problem - the problem is when we leave. Unless you're willing to park several million troops from NATO countries into Iraq and Syria for two or three DECADES, forget it, we've lost. And no Western nation will commit to that - just look at the pressure exerted in every NATO country to exit Afghanistan.
People who don't know military history don't know this - hence why you get the narrative that the US 'lost' the Vietnam war. Militarily, the US trounced the VC. They were a year away from virtual total destruction. The US lost the war for hearts and minds at home.
Want to solve the ISIS problem? Figure out how to get a Western population to commit to a decades-long occupation. Otherwise, you're wasting your time. It's an absolute tragedy, and committing air power and limited ground forces to the conflict at least slows the slaughter, but it's a token stopgap at best.
EDIT: On the original topic - Jordan's response is utterly irrelevant in terms of the geopolitical or military situation. The only thing it - and the video rebroadcast - have done is ensure ISIS will find new and more horrible ways of murdering people. As far as captured ISIS combatants - it doesn't really matter if we imprison them, shoot them, hang them, have them drawn and quartered, whatever, none of it will have any impact on the conflict; it just makes countries who value life look worse.