This depends a bit on what you mean with "push it to others"?

You can always share a list in the new Configurable Workspaces over the share button. If you open the shared list you also have the same filter applied:

Furthermore, you could - as an Admin - also create records in the table which stores these "my lists" (sys_ux_my_list) :

With that approach you could - mass push - a custom list to whatever usergroup you want. However, I'm not sure if this is really necessary or if you should rather create a normal list for that audience.