I think the badge would be very nice as the crest, it has all your design elements and is not quite so cluttered
I agree with the posts above…the crest looks a little too busy. I would either drop the birds or use the badge as a crest also. Are you going to blazon the crest as issuant from a crown of (insert proper name) flowers or slipped vert? That would be pretty interesting.
Just my 2¢.
Take care,