This is so eerily familiar I swear I've had many of these exact conversations word for word. The only way this doesn't turn into a complete nightmare of a cluster is if the exec team "gets it". If so, you just might stand a chance at building a data team that gels with the rest of the org. But if the exec team simply hired you for window-dressing, expect to be treated like a scapegoat and a punching bag. Any mistakes…
So what's the business case for having a data team independent of product, business and engineering?
Because as I see it the data team is a support function not q core part of the business. I'm sure it can be cool for you but if you are at odd with all the people actually creating value, what exactly do you bring to the table?