I think there is a parallel attitude - they hate them both - although probably for different reasons.
Religion - it is hated because any belief system other than the bizarre WTS version has to be invalidated completely in their mindset. Even if they did borrow many of their teachings from other wacko splinter groups in the past. They believe themselves to be the only true religion, so those other guys are all pagan liars.
Science - this is hated (maybe not quite as much as other religions, but hated still...) because it too can threaten certain pet doctrines. In particular, evolution and proven medical science are a challenge. It seems that "science" that kind of agrees with WT ideas is kind of grudgingly acknowledged, but science is always viewed as "of the world" and suspect. As an example, look at the way they recently glorified the "intelligent creationists", even though most would say that is not true science - they liked the general idea but still put it at arms length because they didn't think of it. I guess it is not around any more, but that little blue "evolution" book contains a really clear picture of their misunderstanding and distrust of mainstream science. Including ridiculous criticisms of the carbon 14 dating process, geology, etc.
In particular, if science looks as if it has made some development that can truly help the world, this is denounced as being "mans folly and not from Jehovah". I can still remember the great energy that was given to trashing the "Green Revolution" in the Awake magazine. In fact, most historians now say that this was a positive benefit in fighting worldwide famine.
Little Toe, I guess we could then say that the worst of all possible worlds would then be the Christian Science religion?