In looking over this article, and recipes, on
Mexican Paletas - a couple of things come to mind:
1 - those made with milk will have a creamer texture whereas those without milk will be more fruit-ice like
2 - a food processor is not a blender and it will not give you the same results ... using a blender instead of a food processor may solve some of your emulsification and texture problems.
Hope this helps - and if you try using a blender let me know how they turned out.