WI: James II has surviving male issue from his first marriage?

James II of England Vii of Scotland was first married to Anne Hyde and by her had a lot of issue, including three sons Charles, James and Edgar, all of whom either died young or as infants, now what I am wondering is what might be different if these three sons survived into adulthood and were raised Anglicans?

Would the Glorious revolution still happen? If so would Parliament merely replace James II with Charles making him Charles III? Would James II still marry Mary of Moderna, would he still convert to Catholicism?
 
Charles Stuart, first born son of James Stuart Duke of York and Anne Hyde, was born on 22nd October, 1660, his birth was welcomed by the royal family and the kingdom, though there were those who questioned his legitimacy, due to him having been conceived before his parents were married. However, this was not such a concern for King Charles, who gave the title Duke of Cambridge, to his nephew.

Charles Stuart, was officially baptised on 1st January, 1661 at Worcester House, and after surviving a brief dash with small pox that would leave him scarred for the rest of his life, the second in line to the throne grew up to be a rather healthy child. Curious about the world around him and particularly close to his uncle Charles was formally invested as knight of the garter in 1667 aged just seven. Formally created Duke of Cambridge that same year as well.
 
On 12th July, 1663, the royal family had even more cause to celebrate, for another son was born to Duke and Duchess of York, this time of unquestioned legitimacy, named James for his father and great grandfather, the boy was quickly named Duke of Kendal by his uncle and named a knight of the garter soon after his tenth birthday.

The Duke of Kendal, would grow to be a athletic boy, deeply protestant, and a warrior to the core.
 
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