Using a IRF2807 to drive 74ls00 series ICs

I am designing a circuit with ICs from the 74ls00 series. The clock's output comes from a 74ls04. Since it has a fanout equal to 20, and I want to drive way more inputs, I decided to use a MOSFET. I am thinking of going with an IRF2807. The drain current is 82A, so I should be able to drive practically as many chips as I want. In addition it has a very low Rds(on) at 4.5V (13mOhm), so it will be good with my application. Tr is equal to 64ns and Tf is equal to 48ns, so if I want I can go up to few Mhz (not even thinking of going that high, but just saying).

I am thinking of using a 10 Ohm resistor between the output of the 74ls04 and the gate of the MOSFET, and a 2.2KOhm resistor between the drain and the power (schematic).

Am I missing something?

If in the future I decide to switch to the 74hc00 family, I believe that I should be good as well.

In addition, I would like to use the same circuit for my nCLR signal. I am wondering whether I should go with an N-MOSFET or a P-MOSFET in this case.

Any thoughts?