I don't feel like paying for whatever example mp3 you mentioned, but I think i have a rough grasp of the kind sound you're talking about. I certainly enjoy some stuttering snares with filtering FX and such, so here are some tips i can throw down. (just for clarity's sake, i'm rocking a 1000, but these should work for pretty much any MPC or sequencer)
Set up a few pads with your snare sample. Have one of them as a " one shot," another as a "note repeat," maybe even a pad with the one shot snare set as a mute target for the note one. (so the note on pad mutes the one shot) This way, you can play with the sample's duration in real time, in addition to creating stutter effects. Don't forget to set a pad or two to a slightly different pitch and throw that in there for flavor.
Here's a trick i used to love in Reason, but now that i have delay on my MPC, its getting used more often. Check it, normally you set up a delay to roughly match the tempo/ bars of your song and run it straight up like that. Here's what i do: say your songs in 4/4, set up your delay to match the same tempo, only in 3/4 [or even 5/4, if you're feeling Brubeck-ish] (check out lampdog's sig for BPM counters and such, they'll help with this) This way, your delays are in triplets. Now, normally this can irritate the ear when overused-- and here's how you get around that: copy your snare pad to a new pad, route this new pad to one of your alternate outputs and apply the delay only to this pad. Then, run that alt output into its own channel on your outboard mixer and unmute that mixer channel once in a while for a little wierd, off-time snare fill.
Also, get up on your LFO skills if you aren't already. A lot of the really cool FX you hear in the type of music we're refering to are done with simple filters and LFOs. If you can run them in real-time, so much the better, but again, running a few pads with different settings and switching between them live will give a similar result. The RANDOM setting on the 1000 is awesome for this type of thing; set the rate to something quick like .48 for 1/8th notes and just let thing go. Different performance every bar; people'll think you're a genius.
Finally, two words: Note Repeat. It'll change your life.
The great part about these tricks is that they all work best in real time. So rather than sitting down and driving yourself crazy with microedits, you can just bust the ridikalus-ness as a live performance, making it more intuitive, more interesting to watch at a show and, most importantly, more fun for you.
Hope this helps.