I realize we all had these neat charts in our Biology classrooms showing the progression of the horse evolution from some small 'dog sized' critter to the 'Man O' War' horse of today -- but you realize that evolutionary chart was all wrong, right? Based on the 'fossil record', all of those critters apparently overlapped in their existence.
The 'fossil record' has been embedded with a lot of history of sleight of hand in an attempt to prove the 'macro evolution' model. A couple of key witnesses at the Scopes trial in the 1920s were the Nebraska Man and Piltdown Man. Just about 10-15 years ago National Geographic was trumpeting on its front pate some bird/reptile missing link that was found out in China. Around a year later, not on their front cover, they admitted they had been hoodwinked by some forgery.
Evolution across animal kinds is not going to happen. A winged bird is not going to 'evolve' from a land animal. Many of the requirements (hollow bones, feathers, two fully functioning wings, etc) would be an absolute detriment to the creature if it only occurred in small phases. A nonfunctional wing (or a single wing) would be a burden to the animal and set it up to be wiped out by predators.
There are many processes that cannot be reduced to single piecemeal partitions. Michael Behe's book, 'Darwin's Black Box', provides many examples from the 'simple process' of forming a blood clot, and the existence of the complex eye. All of these require multiple processes to occur at once. A single link in the chain would cause failure or death to the organism. The entire chain (or process) must be intact for the animal to survive. These processes cannot be explained by the evolutionary goo to you model.
Of course they overlapped. We have dogs but wolves haven’t gone extinct. That is one of thousands of examples. We still have horseshoe crabs but their first cousins, trilobites are extinct. Macro evolution is a straw man. The history of evolution is not linear. Just because an amphibian evolved from a fish doesn’t mean there are no more fish. The ancient dog like horse has lead to horses, burros, and zebras.