I'm not really too sure what you're trying to say here. Modern birds evolved from relatively big brained dino's. Dino's which also had feathers. I'm not too sure why you think that it's a problem for evolutionary theory.
Re: Birds, Reptiles, Frogs, and evolution with hybridization.
LNA, you do realise that avian dinosaurs (birds) evolved millions of years before the extinction of the non-avian dinosaurs, don't you? Avian and non-avian dinosaurs lived happily together for millions of years...birds evolved before the extinction of the dinos.
Re: Birds, Reptiles, Frogs, and evolution with hybridization.
I'm also not too sure that you realise that birds, dinos and mammals lived together for millions of years... Still trying to figure out what you're trying to say.