Think about what it would mean to endeavor into project of reviving an extinct species. Not a bacteria or some worm, but one of the most complex organisms as target. This by all accounts is a monumental task, never-done-before kind of stuff, expect development of pioneering bio-engineering technology in there and billions worth of tried-and-true expertise gained in the process. Then open your eyes and look again how you are being told, with a straight face, "we're doing it for... Dodo", don't rise an eyebrow now. Well, this, more than anything, looks like a master piece of project's public image grooming to me. If I would ever plan to develop daring things that may scare people, and I'd also want to find ways to avoid the costs required for total secrecy, I'd remember Dodo, alright.
I don't think splicing dodo genes into pigeons is quite the scientific and engineering moon shot that you think it is. It would be a very big deal. It would not be the precursor to the genepocolypse. Biochem and MCB undergrads do cloning experiments.