A Mosfet turns on with a voltage between its gate and its source. When it is turned on then a current flows fbetween its drain and its source, the amout of current depends on the Mosfet (they are all different, even it they have the same part number), the gate to source voltage, the load resistance and the power supply voltage for the load.
Because they are all different, you cannot say that a certain gate voltage produces a certain drain current because only some of them will. You can manually adjust the gate voltage to match your Mosfet or you can use a circuit that automatically adjusts it.
The threshold voltage is the gate voltage that barely turns on the Mosfet. An IRFZ44 Mosfet has a drain current of 250uA with a gate voltage of 2V to 4V, each one is different.
The max current is 50A to 200A depending on the duration but the IRFZ44 has a minimum drain current of 31A if its gate voltage is 10V.
The gate of a Mosfet is a capacitor, it draws no DC current.
It is difficult to calculate the drain current because each one is different. The transconductance is shown only for "typical" ones on a graph and varies with drain current.