I think if you go out of interest (non-academic) and curiousity, you should be extremely careful.
No one intends to be sucked into a cult or a sect, but it happens.
The music in many evangelical Protestant churches is really REALLY good, and many of the people are so friendly, warm, and welcoming.
Many of them know their Bibles backwards and forwards, and they seem a lot more “awake” than many Catholics, both lay and clergy.
Plus there are so many fun ministries to get involved with. This is how it can start. You are invited to join in the pro-life organization, or the Food Pantry outreach, or the Jail Ministry, or the choir (really tempting if you like to sing good gospel and praise songs that are forbidden in a Mass and there is no other outlet for singing them in any Catholic Church where you live).
Everyone assures you that Catholics are welcome, and that you will be a good addition to their group because you can help them understand Catholicism better.
Flattered, you join in, and find that you really feel “alive” for the first time in years. People are calling you and you’re going out after the meetings (but no one drinks alcohol, and at first you find that oppressive, but then you see that these people are having a fantastic time WITHOUT alcohol, and you wonder what they have that you don’t have?!).
Then you join a Bible study or some other class, and you buy some books, and you sit down to really READ your Bible for the first time ever.
In the meantime, you are still attending Mass, but having a hard time connecting because it’s the same old thing that you have experienced since childhood. You wonder if ANYONE in the Catholic Church has a clue about Jesus. You start asking some questions, and the evangelical Protestants have answers, while the Catholics just tell you to obey the Pope.
You can see where this is going. I have heard hundreds of these kinds of testimonies in my evangelical Protestant churches over the years from former Catholics who joined our churches.
So be careful. If I were you, I would take a clipboard, paper, and pen, and take notes, and if anyone asks, tell them that you are doing research for a paper, a class, a novel, etc.
I would also make sure that for every hour I spent in the other religious houses, spend an hour in the Presence of Jesus in the Blessed Sacrament.
Finally, READ all those apologetics books (or listen to the CDs) by the modern Catholic apologists, especially Tim Staples, Scott Hahn, Michael Cumbie, and Rosalyn Moss. There are others, too–this site is a good one to find the best material. After every non-Catholic religious experience, spend an hour reading one of these great Catholic books.
I apologize if I am insulting your intelligence and faith. I only speak these cautionary words because I have witnessed this happen so many times to Catholics.