Not a single Muslim believes so. Quran has around 360

SCHOLARLY CONCLUSION:

Non-Muslim researchers also researched this topic, judged each verse regarding Moses and Mary and made conclusion that, Mary and Mosess have 18 centuries of gap between them.

I specifically recommend to read the Guillaume Dye's research article regarding this (link at end).

Maryam is called a sister of Hārūn and the use of these three names Imrān, Hārūn and Maryam, has led to the supposition that the Kur'ān does not clearly distinguish between the two Maryams of the Old and the New Testaments. It is not necessary to assume that these kinship links are to interpreted in modern terms. The words "sister" and "daughter", like their male counterparts, in Arabic usage can indicate extended kinship, descendance or spiritual affinity. Muslim tradition is clear that there are eighteen centuries between the Biblical Amram and the father of Maryam. [Michael Marx: Glimpses of a Mariology in the Qur'an; in: A. Neuwirth, Nicolai Sinai, Michael Marx (Hrsg.): The Qur'ān in Context. Historical and Literary Investigations into the Qur'ānic Milieu. Leiden 2011. pp. 533–563.]

Similarly, Stowasser concludes that "to confuse Mary the mother of Jesus with Mary the sister of Moses and Aaron in Torah is completely wrong and in contradiction to the sound Hadith and the Qur'anic text as we have established".[B. F. Stowasser, Women In The Qur'an, Traditions, And Interpretation, 1994, Oxford University Press: New York, p. 393-394.]

Such accusation against Quran was made based on 2 facts.

FACT 1: IN QURAN19:27–28, MARY IS CALLED SISTER OF ARON

The Arabic word used here is “Akhawat" which means both “blood sister” and in metaphoric sense. In Quran, 7:38 same word is used: “ Every time a nation entered, it cursed its sister nation”. So, you can see that this word is also used as “Metaphoric Sister”. The Hebrew equivalent of this word is “achoth”, which is used in bible similarly, both as blood sister and in metaphoric sense

• A female belonging to the same family or clan as another, so a kinswoman (Genesis 24:60; Job 42:11);
• A woman of the same country (Numbers 25:18).
• Figuratively, the two kingdoms, Israel and Judah, are sisters (Ezekiel 23:7).
• Of virtues or conditions, with which one is closely related: "Say unto wisdom, thou art my sister" (Proverbs 7:4; compare Job 17:14)

Mary didn’t have a brother. Her mother promised to make her child a priest when she was in womb. But when a daughter was born instead of son, God accepted the girl child as priest . (Quran 3:35–3:37, 3:44). Thus Mary was compared with Aaron, by virtue. In Bible, Mary’s cousin Elizabeth is also called “Daughter of Aaron”, but no one blame that Bible says Mary is niece of Aaron and Mosess!!

FACT 2: MARY IS CALLED DAUGHTER OF IMRAN

• In Quran, name of Mary’s father is “Imran” not “Amram”. Bible doesn’t provide any name for Mary’s father.
• On the other hand, in Bible name of Mosess’s father is “Amram”. Quran doesn’t provide any name for Mosess’s father.
• In Bible, name of Mosess’s sister is “Miriam”. Quran doesn’t provide any name for Mosess’s sister.

Thus both books have some missing info, when joined together, they provides full info like 2 pieces of a puzzle, without any contradiction. You can cut the following picture in half and place one above another with no mixing up of timeline.

Picture Reference: Self made

SECONDARY SOURCES:

I didn’t want to go to secondary sources which can’t be fully authentic, but just going for further clarification.

If you want to find name of Mary’s father from Christian source, you have to go outside the bible. He is identified as “Joachim” in Gospel of James, which is not considered as an authentic source.

If you want to find name of Mary’s and Mosess’s father from Muslim secondary source, you will get 2 persons. Name of Mary’s father is “Imran bin Mathan” (History by Tabari, Volume 4, Chapter: “Events that Occurred During the Rule of this Regional Princess) and name of Mosess’s father is “Amram” (History by Tabari, Volume 3, Chapter: “The Genealogy of Moses bin Amram). So, there is no way that Muslim confuses Mary with Miriam or daughter of Amram. Mary in Quran is the only child of Imran, who was a priest and mother of Jesus. It’s ridiculous to say that 2 person can’t have similar name thousands years apart, since Bible itself mentions several Mary (Mary of Clopas, Virgin Mary, Mary Magdalene, Mary of Bethany, Mary the mother of James and Joseph, Mary the mother of John Mark)

A hadith reports: “Mughira ibn Shu’ba reported: When I came to Najran, the Christian monks asked me, “You recite the verse, ‘O sister of Aaron,’ (19:28) but Moses was born long before Jesus by many years.” When I came back to the Messenger of Allah, peace and blessings be upon him, I asked him about it and he said, “Verily, they would name people with the names of prophets and righteous people who had passed before them.” (Source: Ṣaḥīḥ Muslim 2135)

NOTE THAT, the Christian of Nazareth didn’t ask anything about Imran being father of Mary. This hadith clarifies the matter that Mary was called as sister of Aaron by virtue.

EARLY CHRISTIAN SOURCE:

A researcher named Gulliaume Dye did detailed research and verse by verse analysis to show, Quran and other secondary Islamic source never confused Mary with Miriam and never messed up the timeline (3). He quoted an early Christian secondary source, that also mentions Mary as sister of Aaron. He translated it from a non English article (reference is given within his article). The article says:

“The Lection of Jeremiah is a 2 pages of composite work.. most probably from the first decades of the 7th century…Jeremiah, before the destruction of the First Temple, had saved the Ark and sealed it in a rock (§ 6). Here the Life of Jeremiah and the Lection of Jeremiah rely on 2 Maccabees: Then the Lection mentions another oracle (§§ 8-10):

Disclaimer: The picture used here is self made and is not used anywhere else.

3. The Qur'an and its Hypertextuality in Light of Redaction Criticism

Footnotes