Forever mine?

On Sunday we sang the song "Amazing Grace/My Chains Are Gone. It takes the original song of Amazing Grace and tags on an additional part. It ends with the "but God who called me here below, will be forever mine...will be forever mine...you are forever mine.

In our culture, I don't know if I agree with the phrasing of that song. Can God be "mine?" Can I own Him? I wonder in this culture that needs to possess things, if it would have been better to say that "I will forever be His. He owns me if I let him. I don't think it works the other way around. I don't bring out MY God and show Him to the world. I look at where God is moving and ask to join him.