You do not need multiple client IDs in order to distribute to multiple YouTube accounts.
The client ID and secret are for the Google app and you only need to configure one such app.
Under Admin Console->Publishers->Your partner->Profiles->distribution profiles you may create as many profiles as you’d like. In the configuration view for each profile, under Authorize API Access, you will find a link . Navigate to the link and input your Kaltura credentials, then click on Proceed to Google for authorization and authenticate with Google using the desired account.