[Felicity]

I think that apart from the godhead issue it's possible to worship and believe in and pray to "another" God.

I believe that there are many people who are worshiping a God that has been defined and formed by incorrect theology and incorrect understanding of who He is in His attributes as laid out in Scripture. In some ways they have formed and fashioned a false god like the children of Israel did when Moses was away having a one on One appointment with the Almighty.

If you don't understand who He is then you're going to live and pray amiss -- both. A proper understanding doesn't guarantee against either of those either if you don't live in obedience and submission, but when your understanding of who He is is based on your own thinking and understanding, doctrinal error, unbalanced emphasis, and view that's been influenced and shaped by culture and the "world" and in which we live it's more likely and more problematic.