Engine hesitation and Stall on acceleration

I'm leaning towards a fuel issue here.
What's the history of the carb ?
Is the carb box stock, (springs,jets,rods) ?
Having a baseline of the carb is a good place to start.
I have had good results with an out of the box stock Ede 600 on a mild 318.
Have you gone through it ?
Blowing compressed air through the ports works to get rid of any foreign matter, and works wonders. Make sure both sides of the squirter is working. I have had it get clogged after sitting with today's fuel. Make sure it is getting a good clean shot on both sides.
Why the double filter ?
Is your fuel system (tank,fuel lines) suspect with dirt ?
If the fuel system is clean, a single Wix filter is sufficient.