Are you saying "Everybody Wants to Rule the World"? Tears for Fears thought so, too. But Hydra seemed to be mostly minions/cannon fodder and very few leaders. Did they promise a new world order for all Hydra to share? I wonder what they used to recruit people and keep them invested. Seems to be happening to people today, too.
There was no New World Order.
Hydra ran S.H.I.E.L.D. and whatever came before that, and whatever existed internationally parallel to S.H.I.E.L.D. all the way back to the 50s. For the last 50 or 60 years Hydra decided the shape of the planet geopolitically and...
The evil plot in Winter Soldier wasn't so that they could take over world, it's so that it wouldn't be so laborious to continue ruling the world, and even then, you have to wonder why the frakk they decided to do that? They've had generations to make everything just perfect, it's not like a gamechanger sprung up from no where and ####ed Hydra's perfect world?
"Cough!"
Three new super carriers, with genelocking targeting sensors designed to target those who are too smart or too dumb, and probably anyone with unuseful psychological conditions and congenital illnesses... Seriously, if you could sterilize the right 90 million people tomorrow: Cancer is cured.
And even then, if all had gone well for Hydra in Captain America II, Hydra was not going to take responsibility or take over, because they already ruled the world, they were just going to blame it all on Nick Fury.
Was exterminating 20 percent of America more or less important than blaming Nick Fury for exterminating %20 of America?
Hydra liked the planet unstable.
Nick Fury got his job in the first place because he is disruptive.
No one got their shit together towards a golden age of peace because Hydra kept telling, the World Council, to tell S.H.I.E.L.D. to blow shit up whenever someone tried to think independently.
Nick Fury was a tool Hydra used expertly.
Against type however, The Avengers were stabilizing the Planet, even if that's mostly because: "Why fight your neighbours when cannon laden Alien airwhales can fall out of the space/time wormholes and crush cities, like whenever." which was Doctor Manhattan's gambit in Watchmen.
Us vs. them.
Which seems like a nice idea when "them" is no one on Earth, until you wonder if there might be some aliens up there who are not complete bastards?
Where was I?
If Hydra did already own America, then either the presidential candidates for America are always already Hydra, or they get a talking to when they move into the White House on par with what happened to President Hayes in Stargate when it was explained to him on his first day that America was at war with most of the known Galaxy.
I think I need to Watch Captain America II again.