Why would they freak out? A Christian baptism is a Christian baptism as for as Catholics are concerned.
The Catholic mass has a specific portion of the mass where specific intentions of the church are prayed for. These usually include praying for the unity of all Christians, among other things like praying for our politicians and civil leadership, praying for the sick, and praying for certain people affected by current events (such as Syrian refugees, or the community of the Charleston church that was shot up, for example).

