I raised my chukars with bantam chicks, in the end only that breed of bantam was able to share the same enclosure, any other breed of chicken or any other fowl/bird for that matter they attacked relentlessly. They caused the death of about a dozen pigeons(since all my gamebird pens house a couple pairs), and death to any new chukar I tried to introduce(sincemy flock was all siblings). Oh, and I would always find dead sparrows, starlings and blackbirds in their pen(I am guessing they didn't like them stealing food).
All the chukars I ever had were extremely agressive and a pain in the butt. Another breeder I talked to about their agression said he experienced the very same thing and thus does not breed chukars anymore since he couldn't introduce new blood into his flock.