Sorry for being blunt, but I believe your problem doesn't come from equipment. Start playing like Fluff, with the same dynamics, sense of rhythm, pro grade muting and riffs and you will get the same tone. Double (at least) track these guitars too. Use about half to 2/3 of the gain you have on your recording.
When you say double track, you mean one track each side or something else, as I have a different one each side already. the song I played came from Volbeat, so that way of playing that song actually sounds more like Volbeat than Fluff.
I played Lasse Lammerts profile which He and just about everyone else say are almost 100% ready to put in a mix without much tweaking at all. but yes less gain can make things sound better... If I could play like Fluff, we wouldn't be having this conversation