Bellamy was most certainly a Christian Socialist, and influenced heavily by his brother Edward's socialist utopian novels. But it's really not that important, either way.
I always thought the Pledge was a ridiculous ritual. It's not the way to instill love of country in kids. But it's a great way to turn them into blind, obedient servants of the state.
If you embrace your inner child any harder, you'll suffocate the little bastard!