Ummm I will straight up say doves are better birds. No contest. Doves are majestic birds that symbolize unobtainable perfection in the form of peace. Pigeons are noisy trashy city dwelling pests that get off on ****ting on people's cars. I guarantee every bird species think pigeons are retarded jerks.
In regards to the original question I think that human beings are still evolving and won't stop until we're extinct. The basis of reproduction involving two individuals swapping genes will always always be evolving as new combinations of genes and mutations are bound to occur during such a process involving a staggering amount of possible combinations.
It is hard to compare human beings to any other animal species on the planet. Once human beings gained sentience, we became a part of nature that didn't belong to nature. We've recognized it and moved above almost every problem every animal species on the planet faces on a daily basis. Steady food and water sources and a lack of any natural predators anymore have basically separated us from the path of traditional evolution, but to think were not evolving is absolutely silly. Not that many thousands of years ago we were not the top of the food chain and didn't have the advantages science and technology have provided us.