Hi itsjeremy,
Thank you for raising your Magic Mouse 2 query on Apple Support Communities. From reading your description, it seems that your mouse occasionally registers a left-click when you right-click.
Just to clarify some terminology here before continuing. A left-click is the "primary click", as in selecting items on screen. A right-click is the "secondary click", for invoking the context menu (copy/paste, lookup, spelling suggestions, etc.).
The Magic Mouse 2 determines whether a click is right or left purely based on the location it detects on it touch-sensitive surface. This is different to other mice which have two separate hardware buttons inside: one for left, one for right. Since you have replaced your first Magic Mouse 2, then a physical defect is unlikely the cause of this behaviour. Out of interest, when you are right-clicking, do you always ensure your finger is as far right on the mouse as possible? It could be the case that when the mouse registers a left-click incorrectly, it may because your finger was just left of the centre of the mouse.
As an experiment to rule this out, for the next couple of days, try to consciously keep your finger as far right as possible when right-clicking. If the intermittent left-clicks stop appearing, then we can say your finger was simply not far enough to the right of the mouse surface when right-clicking.
See how this goes for you. If you need me to clarify anything or you believe I have misunderstood your query just drop a message here.
Kind regards,
adh77