Why exactly do you want to use falsetto? Head voice is a lot more versatile in dynamics and tone and it can blend with chest voice.
Stick with the headvoice, and if you still want a great falsetto then let's switch. My falsetto is great and I can get up to a G6 but my head voice sucks.
*Listening to clip*
They sounded very similar but from from what I know and have heard your "head voice" was falsetto and vice-versa.