Thank you. Cap is a freaking superhero in a superhero film, and as you point out, Cap is the same guy who survived frozen in ice for 70 years--something no normal human would endure. He's not Batman, Daredevil or the Punisher. He is superhuman.
It's just a matter of what/how much you're willing to accept when it comes to the portrayal of superpowers and superheroes. And for superheroes like Cap. they can't "break the laws of physics" which means his 200-some pound frame, practically standing on tip-toes, isn't going to prevent a helicopter with a 2000lb-plus lift capacity from lifting off. The "curl" he does to prevent it from leaving the helipad, maybe. There's enough "wiggle room" when it comes to how "super strong" he is, but he's technically not supposed to be stronger than the maximum potential for a human with maybe a bit more oomph. But I'll give him the helicopter curl but not him pulling the helicopter back to the ground.
The Hulk? Yes. He's got enough mass to overpower a helicopter's takeoff capability. Iron Man? Sure, particularly due to reverse-thrust from the suit. Superman? Sure. Again, "reverse thrust" from his ability to fly/manipulate gravity?
Steve Rogers, otherwise normal human being? Him pulling the helicopter back to the ground just strikes me as ignoring physics. Though, again, maybe there's something in the helicopter's flight dynamics that allowed for it (lift from a ground effect rather than the helicopter's own rotors) but it still strikes me as a bit silly looking.
But, again, it's me nitpicking and looking for things to pick on when it comes to the movie as there's no real, major, problems I have with it. Besides, I'm a Trek fan, nitpicking trivial things like this while accepting greater slips is part of that.
I also like all the jokes about Ant-Man that refer to the fact that no one besides Falcon really knows who he is.
Scott Lang: "Hank Pym always said never trust a Stark."
Tony Stark: "I'm sorry, who are you again?"
If Stark knew who Spider-man, operating for a few months, was then he certainly knew ho Ant-Man was who's probably been operating longer and had a much more public "debut" not to mention Tony's likely connections/dealings with Pym's company and probably even had some knowledge of Pym's work, the Pym Particle and what the CEO of the company was doing with the Yellow Jacket project.
The "Who are you again?" line was less seriously asking and more rubbing salt in AM's wounds of being an "unknown" in their circle of Superheroes and for getting himself captured.