Kurt Russell as Snake was more than just that. It's tough sometimes for people to understand the significance of seeing something when it first hits on the big screen, and the intervening years haven't happened yet. This is a good example.
Kurt Russell was gone from the big screen for several years before Escape. In the 60's and early 70's he played in a bunch of Disney flicks, usually playing the nerdy kid, like in Strongest Man in the World, Now You See Him Now You Don't, or the Computer Wore Tennis Shoes (his name was even 'dexter', and being a poindexter was the epitome of 60's nerddom). Remember, all we had then was the previews for flicks, and those were largely only seen at other movies, so we had no real idea what Snake was going to be like prior to the movie. I don't even remember connecting that it was Russell.
And then he walked on screen. Holy crap! Russell was my generations Selena Gomez, so imagine if she showed up in a few years playing as good a badass as Uma in Kill Bill. It was a shock - and he was great! It was proof to all us nerds that we could be badasses...no, it wasn't high art. But it was a solid movie with a tremendous main character who also happened to be a very big positive surprise.
They can actually make a better version, at least in terms of plot. But they aren't going to be able to recapture that one aspect of the original film that made it a classic for so many of us - the surprising debut of Russell as an action star.