yes, i think we should for extraterrestrial life, because searching and finding extraterrestrial life could be very helpful for humans. If these beings are much more intelligent than we are then we could learn from them, they could help us in our research for cures to medical diseases, solutions to greenhouse gasses, and many more things. Such a discovery would be of tremendous scientific significance. What could be more fascinating than discovering life that had evolved entirely independently of life here on Earth? Many people would also find it heartening to learn that we are not entirely alone in this vast cold cosmos.