Sure! I am going to try to be brief though…
First, this is not something I would have thought of on my own. My husband (who was also a non-Catholic Christian) started to read his way into the Catholic Church. Honestly, it started to drive me a little crazy, and I started to encourage him to go to Mass. I thought if there was any truth to Catholicism, he would be able to tell by simply going Mass.
However, when he said he wanted to pursue this further, with or without me, I decided to do my own research. It was right after Easter last year, and we had many months until RCIA started in the fall. I spent my time reading tracts here at Catholic Answers and I read some of the books on your list. I was just trying to figure out exactly what Catholics believed.
I wasn’t going to convert, though, unless I really felt like this is what God wanted for me, and that the Catholic Church was true. My husband’s main reason for converting was Jesus’ prayer for unity in his Church (John 17:20-23). For me, I was unsure about many issues, but once I understood the Pope and his role, I felt I could trust the Church. This is why I recommended that talk by Steve Ray. I had always worried about what would happen if there was a bad Pope (and there were bad Popes)! What I had missed as a Protestant was Matthew 23:1-4. As a Catholic, you have to trust that Jesus left Peter (and his successors) in charge, and that the Holy Spirit was also left to guide and protect the church. Submitting yourself to the authority Jesus left in is following Jesus. In Matthew 23, Jesus tells his followers to obey to the Pharisees, even if they are hypocrites. After I accepted this, all of the other Catholic teachings fell into place.