DIFFERENT APPROACH

Okay, since folding the doubled fusible in half, making four thicknesses, didn't work for me or my machine, I decided to go with just the doubled thickness.  

It won't look like the bag in the pattern, but it will be close.

My machine can do this, and the needle isn't gumming up and the thread isn't breaking.

Life is good.

I got the outside of the bag made, got binding on it and starting to attach the bottom.

Looking good!

I woke up thinking about a different way to make the bag that looks like the pattern, but without all that thickness.  I'll have to try it next time.