It is very difficult to give you a definitive answer judging from only a few pictures without a formal consultation, however, it does not seem that you would need an alar base reduction if you were considering rhinoplasty.
In general, alar base reduction is used to narrow the width of the base of the nose, to reduce the size of the nostrils, or to decrease nostril flare. As a guideline, the ideal width for the nasal base should be equal to the distance between the inner most part of the eyes (between the medial canthi). If you drop a straight line straight down from the inner most portion of the eyes, the alar base ideally should not extend past this line.
In you, that does not seem to be the case.
The other reason to do an alar base reduction is that sometimes, if the nose is deprojected (shortened) significantly, it can cause the nostril to flare. Again, it is difficult to judge, however, it does not seem that your nose would need to be shortened significantly.
I hope that helps to answer your question.
Best wishes,
-Dr. Asaria