I think this needs a qualifier, such as which sect of Islam you belong to.
Which is what?
There are certainly sects of Islam such as Quranist which appear to hold the Quran (ie Islamic scripture) to be the sole infallible source of authority.
I already mentioned them here:
Violent verses from Allah
And no, they're not a sect, they're more akin to an individualistic movement based on a view usually in opposition to Hadith as a source of either authority or reference. Quranism itself tends to be a label, they don't usually call themselves that; albeit the phrase "
Qur'an-alone" is heard a lot from them.
The movement you describe doesn't have anything to do with the Protestant sola scriptura, aside from the very basic idea of having a exclusive text as a reference.
Protestantism itself still despite sola scriptura upholds most Catholic doctrines (I say Catholic in reference to doctrines taught only explicitly by that tradition and not actually by the text itself, such as the trinity and the original sin), so it's role is subservient to Catholicism despite usually acting opposed to it.
The nature of the Protestant sola scriptura in comparison to "Qur'an-alone" is also entirely different ontologically. The object, status, style etc of the Bible is drastically different as a text compared to the Qur'an - one aspect I mean here is that the Bible is a book that speaks of revelations (much like the Hadith and Seerah in Islam) but for the most part doesn't contain any.
I don't mean this derogatorily towards Christians but most of their text is made up of narrative accounts.
As well as this the Bible contains other genres of text such as poetry/hymns (Psalms), wisdom literature and letters (the Epistles).
Whereas the Qur'an's object, status and style is of a direct revelation from God, the text whilst revealed by the angel Gabriel, remains inherently the word of god in the literal sense (God directly speaking, via Gabriel). This also means the text has an extra sense of intimacy and sacredness of which makes the Qur'an for Muslims, a book to not abuse or interpret one's own ideas onto. It means that the Qur'an is a book that requires an extra level of respect and patience with, alongside that it's actual order and contents are not linear, it remains a book that has no beginning or end, literally!
(I say this to give context to the comparison).
When we compare these major difference between the Bible text and the Qur'an text, we notice that sola scriptura and "Qur'an-alone" can only ever be distinctly different, if not opposed to each other.
Also at that, someone who is "Qur'an-alone" has no knowledge nor place for the figure of Prophet Muhammad, other than the references either speaking to or of him in the Qur'an. Outside of the "Qur'an-alone" person's reference, there is no Muhammad so-to-speak.
Whereas for the sola scriptura Protestant, they still have Jesus, Paul, John of Patmos etc as well as all the earlier Prophets because the nature of their text they term "scripture" is very different in style, nature, etc to the Qur'an. Aka, the Qur'an is not about Muhammad, but the New Testament is about Jesus.
In any case in Islam as a whole I think few would take the view that reason takes precedence over the scripture such that where reason and the Quran contradict reason takes precedence over the Quran.
No, Islam takes the view that reason and intellect
affirms scripture. As well as the Qur'an itself promoting a worldview that engages the reader to analyse and study the world, it does not give ignorance and blind-belief a good consideration at all (quite the opposite, it says 'don't be like those who just believe anything')
So even though it’s not technically sola scriptura for most of Islam since most Muslims also rely on the Sunnah of the Prophet (and some on the Traditions of His family), I think it could still be misleading to imply that for “Islam” which one of little knowledge of Islam would take as implying “all” or “most of Islam” places experience of the individual over belief in the Scripture..
Correct, and this relates to above because the things that Christians consider "scripture" (for instance, letters, speeches, biographies etc) are not considered scripture in the Islamic view, they are considered cushioning historical literature of which one is critical of because it's not revelation from God.
Think of it this way what Moses received on Sinai is "scripture" but Moses' life is Sunnah. Stories of Moses' life are Hadith. Same goes with Jesus and Muhammad in the Islamic view.
Christianity with the Bible, has a very far-removed view regarding this.
As for what you say about experience, experience of the divine (of God) is the very goal of sunnah of sharia of the revelation of the Qur'an. If one does not seek this (Ihsan), then I don't know why someone would choose to follow a religion.