This is an old music book that does contain a couple of religiously themed music selections. It includes a fun thinking day song that can be sung in a round and with a clapping rhythm, as well as a game about tails that is fun and has an accompanying craft idea.
While I might not use the entire book with a unit, there are some fun songs and ideas in it that might inspire your unit to add more musical play to their weekly meetings.
Physical copy available for borrowing in Orleans.