Veteran teachers have lots of very important experience to share, but that doesn't mean their way is the only way to do things. In order to cultivate mutually respectful relationships with your fellow teachers, listen to others' ideas, share your ideas and respect whatever decision is ultimately made, regardless of your personal opinions.
I will be totally honest with you, however, it's hard! I have had a very difficult time with it, especially being the extremely opinionated person that I am! But since starting my teaching career, I have learned the importance of cultivating relationships with fellow teachers. And it all begins with listening. It took me some time to learn that, so I hope you can benefit from the wisdom of my experience.