Earlier quoted context omitted.
No, drug usage rates among whites are not and were not substantially lower than drug usage rates for other races. (In some years, they were actually higher , though not substantially so). In fact, in the 1980s, white people were also 45% more likely to sell drugs as well[0]. The difference in the effects of drug trade on black communities and on white communities in the 1980s are emphatically not due to fundamental d…
>Hindelang, Hirshi, and Weiss (1981) compare police records on arrests to self-reports for a sample of individuals and find these to be similar, with the exception of self-reports for young black men, which appear to understate the amount of crime committed. If the fraction of drug users are equal, but blacks lie about whether they're drug users more often, then your statistics will show that whites use more. The rep…
That's completely counter to the results of both the MTF and NSDUH. Since 1975, with the exception of Native Americans, whites consistently have slightly higher usage rates of drugs than any other racial demographic, although the overall drug usage rates are roughly comparable. For example:
> For a number of years, 12th-grade African-American students reported lifetime, annual, 30-day, and daily prevalence rates for nearly all drugs that were lower—sometimes dramatically so—than those for White or Hispanic 12th graders. That is less true [in 2014], with rates of drug use among African Americans more similar to the other groups[0]
The reason for the discrepancy is that you're citing statistics from the BJS about drug users. That's quite different from usage rates of drugs within the general population.
Finally, you are quite literally begging the question[1] by citing the 1981 analysis (which is itself a rather contested one). Even if we take that data at face value, it concludes that black men understate the crimes they commit, and does so by comparing this to arrest records. The whole point is that arrest records provide a skewed perspective of drug usage for black men (and women), because they are far more likely to be arrested for the behaviors they do.
[0] http://monitoringthefuture.org/pubs/monographs/mtf-vol1_2014...
[1] Yes, begging the question, not raising the question.