To be fair I see a lot of problems with this survey overall so take what it says about Korea with some healthy skepticism:

In most countries, at least a plurality of respondents thought the UN Security council should prevent countries from acquiring nuclear weapons. South Korea and the Palestinian territories were the notable exceptions, where 55 and 59 percent, respectively, opposed such action to prevent nuclear proliferation.

Steven Kull, editor at WorldPublicOpinion.org, said the positive response showed that the Nuclear Nonproliferation Treaty was becoming "something like international law."

He said focus groups suggested that South Koreans generally felt they could best deal with their neighbor
North Korea, which has delayed implementing a pledge to halt its nuclear weapons program. The Palestinian response may indicate a feeling that Islamic countries have the right to nuclear weapons, Kull said. Israel is widely believed to possess nuclear weapons, although it has never acknowledged it.

Here is the actual site that did the survey which also asked people specific questions in regards to strengthening the United Nations:

Now this is where I have serious problem with the survey because it asks these questions of people with the assumption that the UN actually wants to do the things listed in the survey.  Take a look at the first question, the UN has peacekeeping forces around the world now that for example watch as Hezbollah smuggles arms into Lebanon from Syria or watch as the Arab Sudanese slowly ethinically cleanse the country of blacks.  Additionally many of the UN peacekeepers are often complicit in rapes and the sexual trafficking of women in the very countries they are supposed to be keeping the peace in.  On a side note does anyone find it interesting you hear so very little of this sexual abuse by the UN which is far worse than anything that ever happened at Abu Graib, yet the media can’t get enough of talking about Abu Graib any chance they can get?  Anyway, if the UN cannot manage the few peacekeepers that they have now what makes anyone think they can command an even larger force? 

The assumption that the UN even cares about human rights is another fallacy of this survey.  The lack of doing anything in regards to North Korean human rights violations and the sexual slavery of Korean women in China should be enough to prove this but just take a look at the countries on the human rights council.  Who wouldn’t want such great defenders of human rights like Saudi Arabia, China, and Russia standing up for their basic human rights?  I do have to give new Secretary General Ban Ki-moon some credit for cleaning up the council a bit, but much more work still needs to be done. 

The questions only get more ridiculous:

So according to this survey world opinion would justify both a strike on North Korea for human rights violations and on Iran for supporting terrorist groups and trying to develop a nuclear weapons program.  Heck according to this survey both Thailand and Fiji should be invaded as well to restore their governments.  Does anyone really think the UN much less global opinon would support any of these operations?