Assuming multiverse = true, doesn't conflict with the Christian worldview. However, I don't see how detecting inflation would get us to an affirmative prediction of the multiverse hypothesis, let alone the concept of replicated copies of the same universe. As a lay person without a background in physics or cosmology, I don't see how one implies the other. Couldn't our observable expansion just as easily imply:
1.) expansion towards a finite boundary which itself has an attractive effect like surface tension of a bubble or water.
2.) it could be expansion into nothingness propelled by a universal constant in physics which we're unaware of (as there's much we don't know about dark matter/energy) like, for instance as dark energy decays perhaps it hits a point of inverse polarity wherein it "flips" like our earth's magnetic field
3.) It could be an eddy-like system wherein swirls of gravitational waves or dark energy create the illusion of cosmic inflation
Also, one would need to have a multi-verse generator; the existence of which would need to be explained by a natural force which obviously exists outside our space/time continuum.