I don't listen to Eminem. Nothing against the guy, but it's just not my thing.
So, I don't know the drum sound about which you're asking. However, I can still *maybe* help a bit.
First of all, if you're saying it sounds like a "military," I'd maybe start with either an acoustic set or the Nashville set. Add heavier than normal FX on a kick drum (but don't go overboard), and probably nothing on the snare. Play around with the pitch of the individual drums, as well.
Now, I don't know if you're talking ONE drum sound in particular, i.e. the snare only, or the kick only, so again, I'm not sure how much this may help. I'm hoping, though, that this will get you started.
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God works in mysterious ways. Paul and Ringo have outlived George and John.