How to check if values in one JavaScript object are present in another one?

Question

I am trying to compare json_str1 and json_str2, here it should return true as all elements in json_str1 are present in json_str2.

For now I am doing this the long way like this

json_str1 = '{"0":"a","1":"b","2":"c"}';
json_str2 = '{"0":"c","1":"b","2":"a"}';

json_obj1 = $.parseJSON(json_str1);
json_obj2 = $.parseJSON(json_str2);

arr1 = $.map(json_obj1, function(el) { return el });
arr2 = $.map(json_obj2, function(el) { return el });

if($(arr1).not(arr2).length === 0 && $(arr2).not(arr1).length === 0)
    alert("equal");
else
    alert("not equal");

How could I make it short and simple, without converting the objects into an array ?

https://jsfiddle.net/kq9gtdr0/