Worlds Apart Alliance
I'm sorry you misunderstood what interlining is. It simply doesn't mean that your two tickets are considered one ticket for all intents and purposes. Interlining would be if S7 sold you a ticket with Cathay flights and S7 flights. That's not what you did here.
You also seem to misunderstand the minimum connecting time - which applies when you are booked on a SINGLE ticket - and what is wise to do on two separate tickets.
You seem very angry, and I understand your frustration. But please do not take it out on people who are trying to help you.
Pointing to language on the Oneworld alliance Web page and complaining about whether the alliance is seamless or not is NOT going to help you though.
There was an error made my Cathay Pacific in ticketing you on the new flight. This has nothing to do with them being in the same alliance or not. A human being made an error.