I would use them both!! I love the formal look of your LeMoyne star but using the asian floral border fabric (YUMMY!!) in the center of your sawtooth star will tie everything together so nicely. I am assuming your final layout will be a modified Irish chain. In places where four stars come together, put your LeMoyne stars where you only have one or two stars (the outside peremeters) put the sawtooth but I would limit my star points to that teal color so it all ties together nicely. You have picked some gorgeous fabrics for this project.