OK, I can't get past Thought 3 w/o puking, so here are my pre-puke thoughts:
Thought 1:
Your father incorrectly blames *YOU* for the potential break in your relationship; if you would like to maintain the relation, but he is breaking it off, then you could/should very well turn it around on him, and has *HIM*: "There must be a powerful influence at work for you to be ready to cut off ties with daughter...What [cult] are you pursuing that makes that kind of result worthwhile?"
As for the police officer comment, well, it is quite simply a FALSE ANALOGY (a common logical error).
Thought 2:
Funny, but your dad is describing very well the humble origins of JWs (aka Bible Students). Russell printed that any bible student is free to believe or not believe as he sees fit:
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*** Watchtower April 1, 1920, pp.100, 101 ***
We would not refuse to treat one as a brother because he did not believe the Society is the Lord's channel. If others see it in a different way, that is their privilege. There should be full liberty of conscience.
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So you dad is, unwittingly, condemning his own religion, at least as it used to be (but obviously not anymore). Based on his own comments, I guess that means his faith is built on a basis of false religion.
Thought 3:
This is another error in logic. I don't know the proper name for it, but I call it the "Can't Get Off the Merry-Go-Round" fallacy. It goes like this: Judge all other groups by the requirements set forth by JWs. Since no other group does/believes same as JWs, this proves the other groups are all false religion.
I have found those making this argument have trouble seeing the flaw; I guess because they are stuck onthe Merry-Go-Round. One way to help is to point out it could just as easily prove that Catholicism (or any other religion) is true, to wit:
"How do they feel about Virgin Mary, Mother Of God? Do they partake in the Eucharist? Do they have confession? NO????? Well then, obviously they are not a true religion. Stay with the Holy Cathoic Church, the others simply don't know the truth."
In other words: saying "JWs are THE true religion because no other religion believes what JWs believe" is just stupid.
~Quotes, of the "Logic" class