I figured it out. As the current goes up, so does the voltage at the FET source pin. Thus, what used to be a 5V Vgs is now only 5V-Vdrop. So at 2.5A current, the FET gate is really only seeing 2.5V. Nothing can really be done about this unless you decrease the value of the 1 Ohm resistor. If you used a 0.1Ohm resistor the Gate would be able to receive 4.75V at 2.5A But the gate wouldn't need 4.75V. But you get the picture.
I'm going to use an LM317 to get 6V. So at 3A, the maximum the gate could get would be 6V, when disconnected and 3V at 3A.
Let's see how 6V works.