The US will also have to convince China it was attacked in order to get support. Otherwise China will sit out any conflict, as ugly as it might get.
North Korea is really smacking the bear around with a stick here seeing how far they can go before they get bit.
Meanwhile, China can come out a big winner by seizing this opportunity to play the adult in the room while simultaneously embarrassing the US. Trump has handed this win to Xi in a tidy little gift box.
Of course, coming to terms with China will be an entirely different matter.
1: https://nautilus.org/napsnet/napsnet-special-reports/mind-th...
It would take thousands of cruise missiles to even dent their defenses. You can't use bombers until the anti-aircraft systems are down. It's going to take hours to finish the job, and even then who knows what they've launched in that time. Seoul is an easy target, very hard to miss.
However the civilians part between Seoul and the DMZ, home to millions, is not going to fare exceedingly well - if the North decides to "waste" their ammo on civilians instead of the military that will be hitting them back.
1) https://www.quora.com/Can-North-Korean-artillery-really-kill...
"Not now, I'm busy."
"Put down the phone, Sir. This is isn't a drill."