First of all, I wanted to congratulate you on your career path (I'm a Massage Therapist!) and wish you the best on your healing journey. April is right around the corner...
Others have already answered your question of what action you can take- I was wondering what, if anything, you have done? (Feel free to not answer this for confidentiality reasons!)
It will not jeopardize your credibility as a parent unless you are also hotlined and investigated in retaliation. It happens, and it is something worth worrying about. I know of people who have had their children- even babies- temporarily removed from the home due to a call from a neighbor or relative when there was no visible proof that the children were in any danger.
I lived in a basement apartment for years in college- with six people up above- and I can only imagine that living in that situation with kids of your own is very difficult. I would never want to live above another family with my two spirited boys- they sound like a herd of elephants most of the time!
Then, I was wondering if the family above you might have a different work schedule than yours? I recall years when my husband worked second shift and our son would wait up for him until midnight. It seemed awful to others, but it was what worked for our family. Nonetheless, even if that is the situation, a curfew would be a reasonable expectation. Most cities will enforce noise ordinances if you call the police for repeated problems.
Finally, is there a cultural or ethnic difference between your family and the one living above you? It might be possible that their behavior and schedule is normal for their culture (yes, I'm serious- not everyone is raised by June & Ward Cleaver).
I hope you can find a way to either move or make peace with your neighbors. Would it be possible to meet with them and call a truce and/or agree to respect each others rights?
Sending you peace, strength & understanding...