So assuming that Bosnia gets its independence in the 1830s. What would the cultural effects of an earlier Bosnia be like? I'm not sure if at this point that the Bosnian Cyrillic would be revived as the official writing script of this new Islamic Bosnian Kingdom.
The Begovica becomes the main script. The Catholic Bosniaks blow off the dust from the old Books and probably start teaching Bosancica as well. Maybe suported by the ruling class who might see it as a way to further legitimize their rule and provide historical continuity.
So it might be a clerical administration of some sort?
And regarding the way of government, in early part it would be easy to predict.
The nobles get a seat in a divan, a parliament of a sort. Then they can chose a leader among themselves. After that he would rule for life and they owe him his loyalty. Noble republican dictatorship?
The kingdom wouldnt be accepted by the people or nobles, they want to have a chance to inherit, rather than see one family always get the throne.
It might create a more stable situation.
Depending on christian disposition, their clergy might also have a say, but without the ability to be elected, although they could elect.