I’m in the camp that thinks we are to dialogue with our fellow Christians. Yes, your neighbor is looking to save/convert you. God bless him for it! The door-to-door JW’s and SDA’s are also looking to save us. Heaven only knows why we Catholics, so confident and sometimes even boastful amongst ourselves (that we have the fullness of truth and the authority of the Holy Spirit), do not share the same desire to “save” our neighbors. My daughter asks me often why Catholics don’t feel strongly enough about the faith to go door-to-door. “We want them to be Catholic too, don’t we?” she says.
Are we (those urging you to avoid religious discourse like the plague) forgetting that the Holy Spirit may be responsible for the interest your neighbor and his daughters have in you and yours?
There are so many places to start the discussion. But first, pray fervently that the Holy Spirit guides your words and opens his mind (and yours, for that matter).
Then, you can start by telling him you are troubled by the misinformation in the tracts. Do a little research to adequately answer the misinformation. Assure him that you have every confidence in the Catholic Church’s ability to stand up to scrutiny and that you only want to tackle one topic at a time. This is also good advice for people willing to allow JW’s and SDA’s into their homes as they often try diversionary tactics if one topic is not successful.
On the other hand, you can suggest to him exchanging books to read for a future discussion. He can give you 2-3 titles and you can give him 2-3 (Catholicism vs Fundamentalism, Scott Hahn, etc).
Right now, you aren’t looking to convert him. You are looking to open his mind to the possibility that some of what we teach is correct and that some of what he thinks he knows about Catholicism is completely erroneous. The Holy Spirit converts. We are His vehicles. What an awesome and humbling reality.
Your neighbor is also your brother and we are our brother’s keeper.