Sleep deprivation prevents the body from being able to effectively repair itself. Thats why if you stay up long enough, you die. Sleep deprivation can exasperate ADHD symptoms. So even if you think it helps your anxiety, I would strongly advise you not to intentionally deprive yourself of sleep.
Strattera is a norepinephrine reuptake inhibitor. It reduces the rate at which norepinephrine is reabsorbed so more of it stays in the synaptic cleft (gap) between neurons. ADHD is thought to involve deficiencies in dopamine, norepinephrine and potentially seratonin in the brain.
Drugs like strattera result in more norepinephrine which is involved in fight or flight, alertness, concentration and focus.
Adderal and other stimulants increase dopamine which is involved in motivation and reward
Drugs like buspirone (partial seratonin agonist) act on seratonin which is also involved in motivation and is better known for its role in depression. While buspirone (buspar) is normally used to treat anxiety, it is sometimes used to treat ADHD off label.