I don't see them as being the same wife as some others do not either.
I was looking for something to sum up the same thing I was seeing and I think the closet I can link to without going there myself would be found here
Numbers 12:1 Then Miriam and Aaron criticized Moses because of the Cushite woman he had married, for he had taken a Cushite wife.
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Because of the Ethiopian woman whom he had married.--Some suppose that the reference is to Zipporah, who may have been included amongst the Asiatic division of the Ethiopians, or Cushites (comp.
Habakkuk 3:7, where the tents of Cushan, or Cush, are coupled with the curtains of Midian), and that the occasion of the opposition to Moses was the undue influence which he is supposed to have allowed Hobab and other members of Zipporah's family to exercise over him. This supposition, however, seems improbable on many accounts. The words, "for he had married an Ethiopian (or Cushite) woman," naturally point to some recent occurrence, not to one which had taken place more than forty years previously, and which is, therefore, very unlikely to have given occasion to the murmuring of Miriam and Aaron at this time. Moreover, the murmuring is expressly connected with the Cushite herself, not with any of the subsequent or incidental results of the marriage. It seems, therefore, much more probable that Zipporah was dead, and that Moses had married one of the African Cushites who had accompanied the Israelites in their march out of Egypt, or one of the Cushites who dwelt in Arabia, and who were found at this time in the neighbourhood of Sinai. A similar marriage had been contracted by Joseph, and such marriages were not forbidden by the Law, which prohibited marriage with the Canaanites (
Exodus 34:16).
Same
Numbers 12:1 Then Miriam and Aaron criticized Moses because of the Cushite woman he had married, for he had taken a Cushite wife.
Because of the Ethiopian woman whom he had married: for he had married an Ethiopian woman. Hebrew, a Cushite woman. The descendants of Cush were distributed both in Africa (the Ethiopians proper) and in Asia (the southern Arabians, Babylonians, Ninevites, etc.). See
Genesis 10. Some have thought that this Ethiopian woman was none other than the Midianite Zipporah, who might have been called a Cushite in some loose sense by Miriam. The historian, however, would not have repeated in his own name a statement so inaccurate; nor is it at all likely that that marriage would have become a matter of contention after so many years. The natural supposition undoubtedly is that Moses (whether after the death of Zipporah, or during her lifetime, we cannot tell) had taken to himself a second wife of Hamite origin. Where he found her it is useless to conjecture; she may possibly have been one of the "mixed multitude" that went up out of Egypt. It is equally useless to attribute any moral or religious character to this marriage, of which Holy Scripture takes no direct notice, and which was evidently regarded by Moses as a matter of purely private concern to himself. In general we may say that the rulers of Israel attached neither political, social, nor religious significance to their marriages; and that neither law nor custom imposed any restraint upon their choice, so long as they did not ally themselves with the daughters of Canaan (see
Exodus 34:16). It would be altogether beside the mark to suppose that Moses deliberately married a Cushite woman in order to set forth the essential fellowship between Jew and Gentile. It is true that such marriages as those of Joseph, of Salmon, of Solomon, and others undeniably became invested with spiritual importance and evangelical significance, in view of the growing narrowness of Jewish feeling, and of the coming in of a wider dispensation; but such significance was wholly latent at the time. If, however, the choice of Moses is inexplicable, the opposition of Miriam is intelligible enough. She was a prophetess (
Exodus 15:20), and strongly imbued with those national and patriotic feelings which are never far removed from exclusiveness and pride of race. She had - to use modern words - led the Te Deum of the nation after the stupendous overthrow of the Egyptians. And now her brother, who stood at the head of the nation, had brought into his tent a Cushite woman, one of the dark-skinned race which seemed oven lower in the religious scale than the Egyptians themselves. Such an alliance might easily seem to Miriam nothing better than an act of apostasy which would justify any possible opposition.
There are other parallel pieces, and I often dont like referring to anyone else work in any matter but this one just seems plain to me. However, outside of proving racism was not born out of the U.S (as it is accused of) and proving otherwise I have no further interest in this conversation.
So for me, regardless of what others might say, I believe racism existed long before the birth of the United States and thats good enough for me. So it crushes that false accusation.