I must echo the sentiment(s) of those that become calm and relaxed after a workout.
I have only rather recently taken up running (within the last two years) and find that I am calmer and and more relaxed after vigorous exercise. It's at LEAST as good as half an hour in my own version of the Squeeze Box.
As for addressing becoming weird after exercising, I would suggest (if the feeling of weirdness is intense enough or worrying enough) seeing a doctor and having a blood panel done, maybe an endocrinologist to make sure your glands are working properly. If that all checks out maybe play around with the duration or intensity of your workouts. Maybe exercising less vigorously for longer might change the outcome, or vice versa, working out more intensely for a shorter period may help.