HUGE difference. There are gaps between the snare hits, then distorted guitars don't hurt your ears. I have an idea.
Load that Mogwai track into your DAW and then apply your plugins to it and do your make it louder thing - and I bet the same thing happens - you squash the life out of it,
What we're failing to explain is that when a guitar does the 16th chuggy rhythm, between each 'chug' is not silence, but not loud. Your version has the chug peak, but hardly dies down before the next one so you get a huge wall of sound with no definition. Your gear is NOT the quality issue at all. Nothing wrong with MIDI drums if they're done right. Why don't you remove every single dynamics plugin and try to replicate what Mogwai are doing. It's like you have a rule book. 1. record guitar. 2. apply compression. 3 apply more compression. 4. add more, just in case. 5 look at LUFS meter. 6. go back and add more of everything to get LUFS up. 7. put headphones on and listen.
I don't think you've listened to what these plugin are actually doing - because they've turned it to mush. Make it sound like Mogwai's sound. If you can't, it will be EQ, balance, reverbs and 'air' - THEN only compress what needs compressing. with MIDI drum programming - look at your velocities. If they are all maxed out at 127 on kick, snare and cymbals the dynamics are already squashed. What's the point of adding more compression when there are no quiet bits?