Yes, they should be
The reasons we should have courts set up for drug-related issues is because they should be tried and treated differently than most other crimes--especially violent crimes. And also, they should be addressed this way so we can cut down on the ballooning prison population and get more people into rehab instead.
Yes, because drugs are a different level.
Honestly, drugs should be legalized and regulated. Because of this, drug-related issues should be kept to a separate section of the courts. Hopefully, this would keep a number of people who have committed minor drug crimes, such as purchase and possession, out of prisons and jails where they do not really belong.
They need expertise.
Yes, special courts should be set up to hear drug-related issues, because the more specialized the types of cases, the more knowledgeable the judge will be that is making the decision. A judge that has to hear a lot of different types of cases is less likely to be an expert and make good decisions.
No They Shouldn't
I believe the United States needs to stop focusing on the drug war, it is not a battle that can be won. We are filling our jails and prisons up with non-violent offenders in cases that have absolutely no victimes. We shouldn't try these cases at all, much less should be set up separate courts for them.