As a Christian, I am instructed to show mercy and kindness to the least among us. If that means part of my tax dollars go to helping someone 'control their demons' (either real or imaginary), I can deal with it. I think that's the compassionate part. I do hope they get the funds from our disastrous foreign aid program, however. I am tired of helping to line the pockets of two-bit dictators.
No doubt the Left would approve of your thinking it's "compassionate" to force taxpayers to fund "controlling people's demons".