Conversion

I often hear my church leaders say that we should pray for the conversion of non-Catholics to the Catholic church and non-Christians to Christianity.  Which Christianity or Catholicism are we talking about asking people to join?  The church that is about creed and worship or the one that actually follows Jesus, as in love God and neighbor as you love yourself.  I would rather pray for the conversion of Christians from mediocrity to actually following the things that are said in the Bible.  I certainly pray for my own conversion which can easily be tepid on any one day.  Why would I want to ask a person to join a group that does not even practice its call to discipleship?