...”Catholics claim that the God they worship is the same Christ-less God of the muzlims, Mormons and JWs”....
CCC 841, quoting the Dogmatic Constitution on the Church, Lumen Gentium 16, from Vatican II, declared:
The plan of salvation also ‘includes’ those who acknowledge the Creator, in the ‘first place’ amongst whom are the Muslims;...... these profess to hold the faith of Abraham, and together with us they adore the one, merciful God, mankind’s judge on the last day.
Exactly...And would it be too much to assume that JWs and Mormons as well worship the same God as the muzlims and Catholics???