Hmmm, judging by the number of down-votes on my "it'll taste like chicken" comment I have the feeling I need to remind some of the evolutionary grandparents of the humble chicken. Remember that chickens, being birds, most likely are descended from small carnivorous dinosaurs. While the mentioned dinosaur is a vegetarian sauropod, both share a common ancestor.
I think diet may have a far bigger impact on taste than genetic similarity. Cows and pigs are far more closely related than chickens and sauropods, yet they taste very differently. Also, plenty of birds don't taste all that much like chicken.
