No, Chris Evans makes that work. His Steve Rogers is the best actual acting performance of all the Marvel leads. He makes a character that could so easily be horrendously cheesy, awesome. And there is a lot of subtleties to his performances as Rogers. Just little facial expressions and looks with his eyes sell what the character is thinking without the need of dialogue.
I totally agree with this. Chis Evans made a good movie a great one (Cap 1, that is).