Narrowing a Thick-Skinned Nose?

The photo you submitted does indeed show your ala to be quite wide and alar base reductions would be beneficial. What it sounds like you are asking is if this would make your tip look more bulbous, and what could be done for that. It is certainly possible to narrow your tip, but not excellively so. Septal cartilage can be used as tip grafts and the lower structural cartilages could be narrowed. It will help give you some increased definition of your nose and a more triangilar shape that you would like. However, don't expect a fine, sculpted tip, since it's not really possible with your thick skin.

From the view you sent it appears that you need alar bare reduction and slight thinning of the tip and tip skin. Very often the tissue under the skin can be dramatically thinned. See an experienced rhinoplasty surgeon for the best results.

Without the benefit of an exam, it does appear that your nose would benefit from narrowing the nostril base.  It is also possible to re-shape the nasal tip cartilage and in some cases the skin can be thinned as well to improve the appearance of your tip.  You need to have a consultation for a thorough evaluation before proceeding.