If one accepts that the bible teaches strict monotheism, as any JW apologist would do, it's difficult to believe in mormon-like lower divinities. The latter is called henotheism.
Call it what you like, certain parts of the Bible certainly do describe lesser beings as gods. And not just "bad" gods. The angels are called gods in the Psalms and so on. So maybe JWs are not "strict monotheists" in a certain sense, but then neither were the early Bible writers. "Strict monotheism" as I understand it is a late development in the theology of the Hebrew Bible.
How does the tabernacle relate to Christ's divinity?
It is an old Greg Stafford debating point I borrowed just for fun. The argument, so it goes, is that if the heavenly tent can be called the "true tent" without meaning to imply all other tents are "false", then Jehovah can be the "true God" without all other gods (like Jesus for example) being "false". Stafford argues that the dualism is original/imitation rather than true/false. And he argues that false gods are false imitations of the true (i.e. original) God, whereas Jesus, as a god, is a genuine imitation of the true God. (following Hebrews 1:1-3 where Jesus is called a copy of God)
However I remember there was an in-house JW apologetic debate over even that point, and I think Edgar Foster came up with the better argument by saying that Jehovah is called the "true God" but in context the whole true/false dichotomy is false. But he rejected Stafford's original/imitation argument using the tent analogy.
JW apologists would not generally concede "strict monotheism" as you say, without first at least defining the term more broadly than most other Christians do. I thought you were into all that apologetic stuff at one stage? Well this is the sort of thing I am referring to when I imply JW aplogists have ways of getting round this true/false God argument.
http://jehovah.to/exe/hebrew/elohim.htm