Aloe vera has been shown to have many therapeutic benefits.  It has some tendancy to encourage loose bowels, particularly in the unrefined form including skins you described.

Raw, unprocessed honey consists of fructose and glucose, like sugar.  While unprocessed honey may retain anti-microbial and antioxidant qualities, this natural sweetener contains considerably more calories than sugar.  '

The hard alcohol can weaken the immune system and also has high caloric content without providing helpful nutrients.

Many cancer sufferers are wary of increasing their exposure to sugar, which has been demonstrated to support tumor growth.

So, I would suggest the Aloe is doing you no harm, perhaps aside from dehydrating you from diarrhea.  The high sugar intake from the honey and alcohol may be working against you.  I'll bet, at least, it tastes good!

 The reason the aloe is causing loose stools is because you are using the whole leaf.  If you cross section the leaf you will the outer green layer, a thin yellow layer just under the green and then the gel.  That yellow layer contains anthraquinones, which are stimulant laxatives.

The gel is a great source of immune stimulating polysaccharides, which increase white blood cell activity.  Aloe does contain some antitumor organic germanium as well.  Although the richest source of organic germanium is the herb suma.  Turkey tail mushrooms are also very high.

As for the honey, this contains a lot of sugar including fructose, glucose and sucrose that can feed cancer cells.