I've used both (Ritalin rather than adderall mostly) and can see where you're coming from in regards to it alleviating anxiety and boosting productivity like addy (although I've often found adderall to be one of the most anxiety inducing drugs I've used).
Semi off-topic, but interestingly enough, adderall (not sure about ritalin) inhibits TSH, which in turn suppresses follicular release of T3 and T4. Amphetamines are seriously nasty and I would only ever take them with a heavy stack to mitigate the negatives. I would be interested to see how a dose of T3 to normalise levels would effect the adderall experience.