In my experience, people with perspectives like yours tend to drastically overestimate how many abortions happen later in pregnancy.
It has nothing to do with frequency. I oppose elective late term abortions because I think it's unethical. I think it's unethical even if it only happens once. The polling on this is clear: most Americans oppose elective abortions in both the second and third trimesters. However I support late term abortions for medical reasons like saving the life of the mother.