Current 4 Heavenly Kings vs these legendaries.
If we go by anime feats, then the Kings win easily.
I'm not too familiar with manga feats but I'm sure the Kings would still win easily.
If we go by the in game pokemon desciptions and powerscale, then the pokemon team should stand a good chance as most of them are said to be like world enders i.e. Groudon and Kyogure are said to have shaped the world and Palkia and Dialga can control space and time.
Conduct of the King and satan hair are the only problems I see for the legendaries, well that and zebra's sheer power. Also i'm pretty sure Mewtwo's psychic powers will give them trouble, that and along with Rayquaza's massively hypersonic speed. Also Rayquaza is superior to Groudon and Kyogre which both started messing with the climate on a country level scale.