The Catholic Church has already determined you serve the same god as they do.
The Catholic Church has determined no such thing:
““Unveiling a new work on the Second Vatican Council in Rome , Cardinal Walter Brandmuller, the retired president of the Pontifical Committee for Historical Sciences, announced that Vatican II’s decrees on non-Christian religions (Nostra Aetate) and Religious Freedom (Dignitatas Humanae) “do not have a binding doctrinal content, so one can dialogue about them.””