Perths a lovely place to go to .... but I'm another who suggests with your description of the boat and the lack of experience, you go the easier way via Carib and Pacific.
No sea crossing is a guaranteed milk run - but the Atlantic / Pacic option is far better than tackling the Southern Ocean.
I can't get to your pictures on facebook but you infer the boats Australian registered. Unusual to find a twin keeled 60 footer but if it did make it from Oz to Turkey
and you're prepping it correctly for a return run I'd not worry about it making it back in one piece.
But 60 foot is also a big boat - do you not think maybe big enough for you to contemplate some more experienced crew as company? I know strangers as crew could bring challenges - but overall in your situation, it might be less of a challenge than doing it two handed.