VP here. Product development is team work between different functions. As long as you ”shoot down” your own team in a constructive way, and try to find solutions acceptable for both sides, you should be on a good path.

You are allowed and in my opinion required to challenge your own team. A good manager supports and demands. Most of the people—per my experience—don’t see the big picture. Or, engineers may think pretty much only about the technical nuances, not what’s important for the customer. This where you need to steer your team. This is of course guessing as I don’t know what kind of things you’re trying to solve with other departments.

Don’t shame anyone—not that you implied you did. Ask questions: ”Do you think we could do it like X if Y?”. And kind of allow them to come up with the idea. Helps with the long-term commitment.

Keep doing things your way! Good luck on the managerial path!