This is the great thing about the saxophone, every one who plays it will have their own sound. The sound you get will depend on everything from your embouchure and how you breathe, your chosen set up regarding mouthpiece and reeds, and your saxophone.
Best thing to get close to the sound you like is to play the same equipment as the saxophonists that have the type of sound you are looking for, most importantly the mouthpiece. Without being too specific, the rock players you mentioned are not playing with a traditional classical hard rubber mouthpiece.
There are so many choices now for mp’s, I’ve brought up a few more popular ones both in a blog video you can check out on the blog and on some articles which you can link to from the home page under saxophone articles.