We can only believe in Allah by permission of Allah.
وَلَوْ شَاءَ رَبُّكَ لَآمَنَ مَن فِي الْأَرْضِ كُلُّهُمْ جَمِيعًا ۚ أَفَأَنتَ تُكْرِهُ النَّاسَ حَتَّىٰ يَكُونُوا مُؤْمِنِينَ
And had your Lord willed, those on earth would have believed - all of them entirely. Then, [O Muhammad], would you compel the people in order that they become believers?
وَمَا كَانَ لِنَفْسٍ أَن تُؤْمِنَ إِلَّا بِإِذْنِ اللَّهِ ۚ وَيَجْعَلُ الرِّجْسَ عَلَى الَّذِينَ لَا يَعْقِلُونَ
And it is not for a soul to believe except by permission of Allah , and He will place defilement upon those who will not use reason.
There are those whom Allah guides and those whom Allah sends astray
فَمَن يُرِدِ اللَّهُ أَن يَهْدِيَهُ يَشْرَحْ صَدْرَهُ لِلْإِسْلَامِ ۖ وَمَن يُرِدْ أَن يُضِلَّهُ يَجْعَلْ صَدْرَهُ ضَيِّقًا حَرَجًا كَأَنَّمَا يَصَّعَّدُ فِي السَّمَاءِ ۚ كَذَٰلِكَ يَجْعَلُ اللَّهُ الرِّجْسَ عَلَى الَّذِينَ لَا يُؤْمِنُونَ
So whoever Allah wants to guide - He expands his breast to [contain] Islam; and whoever He wants to misguide - He makes his breast tight and constricted as though he were climbing into the sky. Thus does Allah place defilement upon those who do not believe.
مَن يَهْدِ اللَّهُ فَهُوَ الْمُهْتَدِي ۖ وَمَن يُضْلِلْ فَأُولَٰئِكَ هُمُ الْخَاسِرُونَ
Whoever Allah guides - he is the [rightly] guided; and whoever He sends astray - it is those who are the losers.
يُثَبِّتُ اللَّهُ الَّذِينَ آمَنُوا بِالْقَوْلِ الثَّابِتِ فِي الْحَيَاةِ الدُّنْيَا وَفِي الْآخِرَةِ ۖ وَيُضِلُّ اللَّهُ الظَّالِمِينَ ۚ وَيَفْعَلُ اللَّهُ مَا يَشَاءُ
Allah keeps firm those who believe, with the firm word, in worldly life and in the Hereafter. And Allah sends astray the wrongdoers. And Allah does what He wills.
وَلَوْ شَاءَ اللَّهُ لَجَعَلَكُمْ أُمَّةً وَاحِدَةً وَلَٰكِن يُضِلُّ مَن يَشَاءُ وَيَهْدِي مَن يَشَاءُ ۚ وَلَتُسْأَلُنَّ عَمَّا كُنتُمْ تَعْمَلُونَ
And if Allah had willed, He could have made you [of] one religion, but He causes to stray whom He wills and guides whom He wills. And you will surely be questioned about what you used to do.
And if Allah sends astray someone, he has no help.
فَمَا لَكُمْ فِي الْمُنَافِقِينَ فِئَتَيْنِ وَاللَّهُ أَرْكَسَهُم بِمَا كَسَبُوا ۚ أَتُرِيدُونَ أَن تَهْدُوا مَنْ أَضَلَّ اللَّهُ ۖ وَمَن يُضْلِلِ اللَّهُ فَلَن تَجِدَ لَهُ سَبِيلًا
What is [the matter] with you [that you are] two groups concerning the hypocrites, while Allah has made them fall back [into error and disbelief] for what they earned. Do you wish to guide those whom Allah has sent astray? And he whom Allah sends astray - never will you find for him a way [of guidance].
إِن تَحْرِصْ عَلَىٰ هُدَاهُمْ فَإِنَّ اللَّهَ لَا يَهْدِي مَن يُضِلُّ ۖ وَمَا لَهُم مِّن نَّاصِرِينَ
[Even] if you should strive for their guidance, [O Muhammad], indeed, Allah does not guide those He sends astray, and they will have no helpers.
My question is:
If we can only believe by permission of Allah, and He decides whom He guides and expands his heart to Islam, and whom He sends astray will have "tight breast" and have no help, do we have free will in believing in Allah? Is there free will of faith?
Comment: It appears to me that it only depends on whether you were guided or sent astray. If we were guided we would be on the right path, and if not we would go more deviant. Do we have free will in it?