Is it feasable?
yes! Though, be prepared that if you re-use tags, things will be messy.
Is it recommended?
Definitly not! Why miss out the advantage of a private repository?
If you want a simple approach and don’t care for authentification/authorzation: registry:2
If you need authentification/autorization: Gitlab, Nexus3, Artefactory or Portus (http://port.us.org/)
All of them are more ore less easy to setup open source solutions.
In case you need support: the first three offer commercial subscriptions. Not sure if Portus does as well.