Although I don't accept your definition of 'apostate', here's my insight on your question:
A faithful JW won't be persuaded by logical reasoning, because the fundamental of his belief system is anchored on the notion that the Jehovah's Witnesses have the "truth", and everything else out there is satanic thinking, and this thinking should be avoided like the black plague. This is tied with the notion that the Watchtower organization and their leadership are "spirit-directed" personally by Jehovah and Jesus Christ. Who could argue with THOSE, right?
So, in order to avoid a JW to stop thinking when their beliefs come under scrutiny, the thing that needs to be done first is to deconstruct the MYTH that this organization and its leadership is - or ever was - "spirit-directed". Once you manage to see that there is no direct line between this organization and the heavenly powers, then you start realizing that is a man-made construction, self-appointed as God's chosen sole channel of communication on earth. In doing this, you are destroying their basis for authority. Only then you may feel free to research other sources of material other than those heavily filtered and skewed by the publications of the "faithful and discreete slave". And this is where you are fully exposed to reallity and wake up to a different vision of the world, where things aren't black and white, where your choices aren't narrowed to "Jehovah's Organization" [read: the watchtower] or "Satan's Organization" [read: everything else], and you open your eyes to evidence that the teachings of the WTS are seriously flawed. But in order to get to this point, first one needs to establish that the Watchtower Society and its leadership are NOT being directed by God and Christ.
There are several ways to get there. What personally did it for me, coming from a social sciences background, was to examin the history of the origins of the Watchtower Society. This was very telling, because I realized that brother Russell wasn't an original thinker, that his theology was crafted after the ideas of many other religious teachers in the wake of Millerism; that he came from a historical and geographical context that produced him. This convinced me that he wasn't especially "spirit-directed", but simply a christian in search of answers. He developed those answers, but many others developed similar answers, with variations that resulted in many Christian churches. Many survived to this day, many fell by the wayside into oblivion. By a set of circumstances, the Jehovah's Witnesses turned out to be fairly successful in this faith market of the "second awakening". Once I examined the historical context of the origin of the Watchtower Society, I was ready to read Raymond Franz's "Crisis of Conscience", and that was the final nail on the coffin of the "Governing Body" leadership's credibility. From that day on I stopped seeing these religious leaders as having any special divine guideance that would set them apart from any other Christian religion leadership. They are all man-made, none of them was appointed by Christ or God.
And it went from there ...
Eden