WI: Henry II of England was able to marry Alice of Vexin

I am thinking what if Eleanor of Aquitaine dies on 1189 and Henry II replaces her with Alice of France and bears sons with her, what would be its effects if Richard still dies without issue and predeceases his brother, there would be rivals to John in the English throne, the children of Henry II with Alice and Arthur of Brittany, how would John deal with this?
 
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