Hello,
Just wondering but you are sweeping your ICMR to 5V, is this your supply? Lets say you have a diff pair with NMOS inputs and PMOS active load single ended. What is the supply on your PMOS? Is it around 1.2V? Additionally, even thou your current mirror is ideal, don't forget your body effect of your input transistors will change, therefore the Vths will increase... maybe this is the reason...
Lastly, you make the statement, you have a current mirror Op-amp so they both have the same identical load. This is only true if its diff in diff out with a common mode feedback.
Hope this helps,
JGK