Enmity down cap is -50, and Minikin gives more than half of that. Assuming you have -5 from merits, you're only 15 points from cap with just Minikin. Odds are you are getting most of that from equipment without even trying. For example I use Verse Strap +1, Orison Cape, Orison Earring, Tamas Ring, Marduk's Crackows, White Tathlum, Fylgja+1, and Pythia+1 in my Cures. That's Enmity-25 right there from equipment. Add 5 from merits and 30 from Minikin, and I'm actually 10 points over the enmity down cap with just Minikin atma. (It's because I don't use different equipment inside Abyssea, so I have extra enmity down for outside Abyssea. Otherwise I'd swap the White Tathlum for Aqua Sachet but it's just not worth it for 2 MND that I only get inside Abyssea.)
I understand most people don't have "ideal" equipment but I'm 10 points over cap, and that's not even considering the fact that you don't need anywhere near capped enmity down but I won't even start down that road cuz you all know how I get...
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Pergatory (Asura, Kupo LS) WHM99 ~ SMN99 ~ DRK99 "If you want to know me, look inside your heart." -Lao Tzu