If it secured the future of both clubs then why not.
It could be one of the best grounds in football, and with the costs shared would release much needed revenue. I would hope it would be a large stadium, of around 70-80,000 and that there could be a 50 - 50 allocation for Derby matches, instead of the minority percentage for away fans.
Can you imagine a full house of that magnitude on Derby day?
The biggest problem would be getting the Derbies though, as unless we draw each other in the cup, we are unlikely to face each other next season, what, with Liverpool playing 2nd tier Championship football.