The thing you want to remember is this, you are gonna fight somebody and the second you walk into the ring or the mat or whatever - there isnt going to be a stairmaster/eliptical/bike there waiting for you... The work you do on the track and with the jump rope is gonna help you the most in terms of footwork/handspeed/and hand and eye coordination...
One rule of thumb for you, if you want to do things fast, you have to practice them fast.. Endurance running is great for building up the lungs etc...but when was the last time you went to a fight and ran two miles? I think your best bet is to run sprints, preferably short ones and up hills... The more sprints you do, the more endurance you have
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Just my two cents...not to run down distance work, it has its place... But I am a firm believer that if you want to do things fast, you have to practice them fast...