I cannot tell you who you are, only you can. There is nothing offensive with wanting to learn about your ancestors, their cultures, their histories, the current activities. What would be disrespectful is someone saying well I have Cherokee ancestors so what can I take, use, appropriate? My advice would be to respectfully learn about your people, participate in a respectful manner when you can, and do this for the right reasons. And do not believe people when they tell you that you are not something. You may be non-status, you may be disconnected, but your blood is your blood. You are mixed race native person. You are disconnected. But you can always go home. 

It has been my experience within several native communities that culture is more important than blood quantum. So you must learn yours, if you can. I also must note that I am a non-status Cherokee person so you may want to ask several others about what you can do.