You ask what the problem was with Moses marrying a Midianiate woman and you ask for evidence of Moses wrong doing. Clearly you do not know your Bible very well or you would not have asked those two questions.
For your information this is what the god of Moses told him to do and I suggest you let the subject drop and forget all this Moses stuff. He is NOT the one to follow. Jesus tells us the words of our Father God, so listen to Jesus.
And the children of Israel took all the women of Midian captives, and their little ones, and took the spoil of all their cattle,
and all their flocks, and all their goods. And they burnt all their cities wherein they dwelt,
and all their goodly castles, with fire. And they took all the spoil, and all the prey, both of men and of beasts.
And they brought the captives, and the prey, and the spoil, unto Moses, and Eleazar the priest, and unto the congregation
of the children of Israel, unto the camp at the plains of Moab, which are by Jordan near Jericho.
And Moses, and Eleazar the priest, and all the princes of the congregation, went forth to meet them without the camp.
And Moses was wroth with the officers of the host, with the captains over thousands, and captains over hundreds,
which came from the battle.
And Moses said unto them, Have ye saved all the women alive?
Behold, these caused the children of Israel, through the counsel of Balaam, to commit trespass against the LORD
in the matter of Peor, and there was a plague among the congregation of the LORD.
Now therefore kill every male among the little ones, and kill every woman that hath known man by lying with him.
But all the women children, that have not known a man by lying with him, keep alive for yourselves.
(Num 31:9-18)