The basic icing recipe I use is a lot of powdered (confectionary) sugar, and just enough milk to make it run (I typically play it by ear, but I would guess it is 2–4 tablespoons of milk for every cup of sugar). I usually start with the liquid in a bowl, and add sugar until it gets to the desired consistency.
The point of an icing or glaze is that it is thin. It is supposed to run or pour, and create a thin layer of sugar over the donut or cake or whatever. Pour it on, wait a bit, and most of the liquid either evaporates out or is absorbed by the thing it is poured over. What you describe sounds about right to me.
That being said, some things to try (and not try):
Add more sugar. Again, I generally make icing by adding powdered sugar to milk (and vanilla) until the consistency is right. You can keep adding more sugar until it is what you want.
Add less bourbon.
I would not try to reduce this icing. Adding heat is going to change its character quite a lot—a lot of the bourbon is going to cook off (which will reduce the "boozy" flavor of the icing), and cooked fruit tastes quite different from fresh (or frozen) fruit. Sugars also decompose in heat, which is likely to change the flavor quite a bit.
You could try to make a buttercream frosting from this basic recipe. Usually, buttercream frosting is made by whipping butter and sugar together until it is light and fluffy, then mixing in a small amount of some flavor (vanilla extract, fruit, whatever). The general goal is to get an emulsion of butter, sugar, and whatever minimal amount of liquid is added as part of the extra flavoring.
Since you have already mixed the sugar with other liquid ingredients, it may be harder to get the ingredients to emulsify properly. However, if I were to try, I would maybe start with around 2 cups of room temperature butter (that's around 4 sticks). Whip it up with the whisk attachment of a stand mixer (or a hand mixer, or just a whisk if you don't have a power tool), slowly adding your icing as you go. You ought to be able to get something pipe-able. Maybe.