Lots of good advice given. There are fusibles meant to be used on silks. You won't, however, find them at Joann's.
You don't state what level of quilter you are. If you are a beginner, I'd hesitate to take this on as the slippery fabrics and having to watch you iron temps, etc. will be a challenge. Getting a good 1/4" seam allowance on cotton fabrics is probably enough of a challenge for a beginner. If you have some experience, you might be able to accomplish it, but it will still be a challenge.
Another thing you might consider, is to make collages out of some of the fabrics and frame them. Putting the fabrics behind glass helps preserve them and keep them clean and unharmed. I've seen several of these done with partial pieces of fabric that were very striking.