Hi,
I do not know what is about the "LED Stripe", I´ve taken randomly a LED in my spice simulation.
First of all it´s not a good idea to drive the IRF540N without the resistors (Simu1), the reason why you don´t measure this current value could be that the µC limit it´s output - don´t stress him too long..

Second simulation shows it with the 100R/100K on the gate.

As I wrote you will only have current dips because of the gate cap charging.
For more precise simulation I should know your load.
Nevertheless, the bandwith of the current clamp ist not the deciding point.
Else you could do:
Integrate the resistors in your circuit, measure the voltage over the 100 Ohm resistor(expected value something around 40mV, easy for the scope) by the scope, compare it with the current clamp measure.