First -why would you want to do this?
Koi,
thrive in temperate, rather than tropical climates. They will eat almost anything offered but their dietary needs are way different from those of your predators. They produce large amounts of water and are prone to protozoan, bacterial, and parasitic infections when kept at persistent high temperatures and fed unsuitable foods.
It's a bad combination that could make ALL of your fish sick if disease anchors in one fish and spreads. Whether your fish beat the snot out of a koi depends on your individual fish and a variety of factors that are relatively hard to know unless you're a pet psychic (jk - they don't know).
That said, all but one respondent here is saying "whether they beat it up is not the primary concern," and we all gave pretty good reasons for it.