This is the teaching of both the Eastern Orthodox Church and Islam. Our task is not to become like angels. Our exalted spiritual task is to become true human beings, who have a higher station than angelic beings. Human beings are intimate in the Divine Play. Angels do not play with Allah.
Angels are very serious.
They do not taste the ecstatic union with Essence. They whirl around the throne and bring messages to the planetary plane. They are obedient and loving, but they do not have our potential spiritual subtlety. They cannot have the experience of merging with Reality and reemerging as eternal Divine Companions, as Light within Light. They are creations.