By considering the general properties of approximate identities in Lipschitz algebras, we are able to present a unified approach to characterising completeness of spectral metric spaces, existence of connections on modules, and the lifting of Kasparov products to the unbounded category. In particular we show that given any two composable Kasparov classes, we can find unbounded representatives whose product can be constructed to yield an unbounded representative of the Kasparov product. This is joint work with A. Rennie at Wollongong.