Is it safe to refrigerate a 3-2-1 ratio pickle I mistakenly processed for canning?
No, boiling should not have created health risks.  If anything, you are likely to have killed off some microorganisms that could have led to gradual spoilage (over weeks or longer) in the refrigerator.  So, the only likely effect on safety is that you may have extended the expected shelf life of the pickles in the fridge.

Of course, boiling the vegetables will also have softened them and given them a more "cooked" texture/flavor, which may not have been intended in the original recipe.  But as long as they are kept refrigerated, they should be safe to eat.