Mindfulness and Concentration
Using mindfulness and concentration is not really a process of gluing together two systems. Because of various teaching lineages pulling them apart and creating the appearance of separateness, it can now seem that we are integrating two systems. It is only an appearance. Mindfulness and concentration have both been part of the same, one process of meditation for a very long time.
It is very common for teachers of meditation to describe one of two general types of meditation, and to recommend one as being superior to the other.