Maybe I should state this again as a whole, with influence on others after them as well Musicality of the guy. Just so you know HBK_Is_Awesome43 Hair Metal isn't dead, however Grunge is. But you can make a convincing case for each of the people on this list. And both of you are discrediting Joe Strummer far to easily here. Have you listened to London Calling? The Clash pretty much ended the first wave of Punk, They also influenced the second wave of Punk, with music that opened up the use of Ska and Reggae as well as other forms of music into Punk. This has continued since, add to it who Joe Strummer has influenced over the course of his career, It is a who's who of fairly modern rock and Punk including Rancid and more particularly Tim Armstrong who is as underrated as they come.
Jim Morrison was a Genius, there is no other way to describe him. The lyrics and delivery of songs is possibly the most important parts of songs and Jim Morrison nailed it down to a tee. He worked the crowd Like Hogan did, got them eating out of the palm of his hand, including tricking people into thinking that he flashed them multiple times. Then you look at who he has influenced Ian Astbury from the Cult, and if that isn't enough he is a heavy influence on fuckin Iggy Pop and the Stooges.
You can't say that when you take the influence on others into account you cannot make a case for either of these two. Im not the formost authority on these four men but I know that they are awesome and any of these four could be in the top position.