Its not clear what the ideological lines are though. With USSR, it was a very clear Capitalism v/s Communism ideological battle. Its not clear to me that the rivalry would escalate to the same levels as it did during the Cold War.
There is one thing that does give a lot of hope to me personally: the close economic relationship between the US and China has created a tight bond between the countries even if they are unwilling to admit it openly.
Its not inconceivable for world powers to co-exist in peace. There will be a lot more frontiers in the future that can be competed on without wanting to destroy one another.