I think aikido in general has much in common with the Christian doctrine of "unconditional love." As well as humility in the sense of not insisting on doing things your own way. Also, the phrase "Create in me a clean heart, O God, and renew a right spirit within me." reminds me of "purification" practices.
Generally speaking about aikido and religion (I assume that's what you mean by 'spiritual disciplines'), as I've heard it said: "aikido isn't a religion. If you happen to have a religion, though, it can make you better at it."