When I saw the title to this thread, I thought it might be something I started several years ago.
Before I became Orthodox, and was still Catholic, I became involved with the Catholic charismatic movement. I attended a Life in the Spirit seminar, and was excited in anticipating a great change in my spiritual life with the "Baptism in the Spirit" that would cap the seminar. However, I also was unsure of the speaking in tongues, prophecy and so on. I sought the advice of Orthodox, who recommended I not undergo the "Baptism in the Spirit", since one couldn't tell what "spirit" it might be. I ended up going through with the "Baptism in the Spirit," but I prayed the Jesus Prayer the entire time. I did not experience any change, any speaking in tongues. The lady in the pew in front of me, who was just prayed over, was crying (in joy at some experience?)
Personally, I think you should politely avoid praying with Charismatics (Catholic or Evangelical), and having them pray over you. When they're speaking in tongues, you don't know who they are really invoking.