Disabling left+right click brings us a lot closer to that mode. Maybe you could formalize it and call it an option?
A much bigger problem with right click (and left+right click) is that it's bringing up the browser context menu. That shouldn't happen.
If we're trying to be authentic to original Minesweeper, I see that you've implemented the sunglasses face that appears once you've won the game. The original also uses an ":o" face (circular mouth) when revealing a hidden square. Maybe U+1F62E?