does God call a reprobate person elect to the extent and duration that he is a member of the visible body, or, for that matter, does God call a reprobate person elect to any extent or duration at all?
What follows is rather selective evidence
John 6.70: “απεκριθη αυτοις ο ιησους ουκ εγω υμας τους δωδεκα εξελεξαμην και εξ υμων εις διαβολος εστιν”
John 6.70: “Jesus answered them, ‘Did I not choose you, the Twelve? And yet one of you is a devil.’”
God elects reprobate and elect-to-eternal-salvation alike into his kingdom just as he chose the twelve to be his disciples, including Judas, who fell away as fore-ordained.
Another text that is relevant:
1 Peter 2.9: “υμεις δε γενος εκλεκτον βασιλειον ιερατευμα εθνος αγιον λαος εις περιποιησιν οπως τας αρετας εξαγγειλητε του εκ σκοτους υμας καλεσαντος εις το θαυμαστον αυτου φως”
1 Peter 2.9: “But you are a chosen race, a royal priesthood, a holy nation, a people for his own possession, that you may proclaim the excellencies of him who called you out of darkness into his marvelous light”
Peter is making a rather obvious reference to Exodus 19–just as God chose Israel, God has chosen the institutional church composed of both Jew and Gentile.
Or, as the Westminster Shorter Catechism puts it (if we consider the relationship between Exodus 19 and 20.2):
The preface to the Ten Commandments is contained in these words, I am the LORD thy God, which have brought thee out of the land of Egypt, out of the house of bondage. Wherein God manifesteth his sovereignty, as being JEHOVAH, the eternal, immutable, and almighty God; having his being in and of himself, and giving being to all his words and works: and that he is a God in covenant, as with Israel of old, so with all his people; who, as he brought them out of their bondage in Egypt, so he delivereth us from our spiritual thraldom; and that therefore we are bound to take him for our God alone, and to keep all his commandments (101; boldface added).