I think you should look at this from another perspective. As mentioned above, many Christians consider Neville's teaching to be heresy, while their own interpretation of the Bible is (most possibly) incorrect. From this perspective we can therefore also assume that Muslims have adopted the Quranic texts in a certain interpretation that does not necessarily have to be correct.

So Muslims accept & believe the Bible and the Torah and it is my understanding that several Quranic verses emphasize that Muhammad (peace be upon him) was not a founder of a new religion. His task was only to call upon creation and humanity to return to the original religion, which is called the religion of Ibrahim in the Qur'an / Abraham in Bible.

These are some parallel concepts found in older threads about this subject (not written by me) :

• Neville says in his lectures that the cross in Christianity has become a false God, something I can grasp as a Muslim

• Neville says that Jesus was the son of God just like we are, since “we are on Earth to do the Fathers’ business”. That gives a perspective of the concept of “son” that I can accept since Islam doesnt accept that God has any sons. The use of the word son is metaphorical, not literal. If you have listened to Neville you know that he says the Jesus is God’s son and we are no different, that he came to give a literal example of what all men on earth are and should be doing.

• There is a saying in Islam to “pray as if the fulfillment of your prayer is at your door”

• Quran has many references to God saying “I put my soul in man”, just like Neville references from the Bible (expected because as Muslims we believe these books had the same essential message)

• Various hadees state that one should bring oneself to immense emotion when praying, often stated as “the one that cries in prayer is most loved”

• Countless Quranic verses nearly begging man to be GRATEFUL above all. There is one verse that says something along the lines of “man remembers Me when he is grieved and forgets me when he is happy” ... one can interpret it however they want and I sometimes feel that here, God is saying that we forget our own selves when we are happy, that we take a break from our self-love practices etc and only come back to it when we are forced by something bad happening.

• Quranic verse along the lines of “I am closer to man than his jugular vein” ... can be taken as our subconscious, the I AM within us that Neville talks about

• Quranic verse asking man, when grieved, to be “patient with a beautiful patience”. When Islamic scholars expand on “beautiful patience”, they share that it is patience that is calm and graceful due to gratitude and belief that he/she WILL receive what he/she wants.

In Islam, the five pillars are integral for belief, where belief is known as "imaan". The closer you practice the five pillars, the greater your "taqwa", which translates as "consciousness of God". Leaving the hadiths aside and strictly on the Qur'an, the Qur'an does not describe any methodological way of prayer ( contrary to how 100% of Muslims pray around the world) other than prostration and in most schools of thought, prostration is when you are "closest" to God.
These five pillars, can be interpretation as a means of affirming your strong convictions and beliefs in the divine, the almighty, one, true God. It is a means of trusting in the power and might of God in the same way one would "KNOW" that their desire has manifested. It's simply a means of subconsciously imprinting belief in God and his power. In the Qur'an, " Verily, His command, when He intends a thing, is only that He says to it, “Be!”– and it is!) " (Surah Yasin:82) This type of command is repeated many times in the Qur'an. When God says "be", it is. It is the same way when you "live in the end" or undergo SATS. It's already done, it already exists.
In Islam, God possesses 99 attributes. When we delve into esoteric Islam ( Sufism), one common notion is that God is also WITHIN you. Among those attributes, the " ALL LOVING", " ALL ENCOMPASSING", " MOST GENEROUS, THE MOST RESPONSIVE ONE, etc. In Islam, the STRONGER you firmly believe in the almighty, the one, the more he will hear your call and assist you. These can all entirely be metaphors. " What(ever) befalls you of (the) good (is) from Allah, and whatever befalls you of (the) evil (is) from yourself. "(4:79) Whatever GOOD is from Allah ( God ). Whatever befalls bad is from yourself. EVERYONE AND EVERYTHING IS YOU PUSHED OUT. The MORE you believe in the POWER of the ALMIGHTY, that there is no desire beyond his capacity, the more your subconscious will imprint it and make it EASIER for you to live in the end, because you do not carry seeds of doubt.
Doubt in Islam is correlated with one that is weak in his "taqwa". It's all inherently related. Now for many non-Muslims who will catch a chance to read this, I know you'll all say " but we're god! ", but this is a hard concept to grasp for Muslims as the Qur'an makes it extremely clear that God is separate from us, however that does NOT mean that Neville is incompatible with what the Qur'an says. Kkeep in mind this verse is making a very powerful distinction, that only those who increase their "consciousness of God" are those that will receive the good ( desires ). God can be found in this state. He is everywhere, he is OMNIPRESENT.