I’m just wondering what one quick way, not the fastest, is reach a position where both sides have worked together to create a mutual stalemate here neither side could move on their turn, and the position is symmetrical.
There was a previous stack exchange answer which has a very amusing position where neither side can make a legal move.
Take a look - very enjoyable !
To be straightforward, there is no such thing as a mutual stalemate. Saying
neither side could move on their turn
is a bit confusing. If it's white's turn, then they can be stalemated. Black cannot be stalemated as well, because his opponent has not moved to put him in stalemate.