Weird, you guys must be extremely unlucky as in my experience Reps are a tough nut to crack. I loose way more matches vs Reps than versus other Imps. I think that as an Imperial, I win just around half of the matches vs Reps. Most of the matches there are 2, 3 or even 4 excellent Republic healers in full warhero and guarded by a vanguard or knight, vs our 0 or if we are lucky 1 healer who doesn't get a guard as we Imps are all about DPS!!
Against imps I win far more than I loose, probably because they have the same flaws in team make-up + my character is in just about full augmented warhero, so odds are good that my team has a gear level advantage.