dude cats can get along with beardies just fine. go watch that video of the cat with it's beardie in the window. it just depends on ONE THING I CANNOT STRESS ENOUGH: DEPENDS ON THE CATS DEMEANOR
if it's a jerkface cat like some, then prolly not the one to introduce. If it's a love-bug cat that loves everything, it will prolly be ok.
Everyone saying to scare the cat? I've had terrific luck using a beardie to scare them. My Franklin licks them on the nose to smell them and it freaks them out more than anything.
Dragons won't run or act scared, so the don't automatically elicit the prey response in a feline predator, it honestly, seriously depends on the cat itself. After a while, of beardie just sitting there not giving a crap about it, the cat will move along. Or if it's a jerk cat(like some) it might just think it's a toy and try to play with it, but Franklin bit the crap out of the one cat who tried to paw him and that cat never came back
Those weren't even house cats, just neighborhood cats that like to hang around!