get a corner of the FEL (front end loader) up under the asphalt, and wiggle the asphalt up some, and let it drop, lift up again, and let it drop, and just go around the asphalt, "prying it up" and letting it drop, eventually it will start cracking completely into manageable chunks that you can just drive the FEL right up and under the chunks to load up and dump some place.
there real no way to cut it without saw and even then the tar would more likely glue it all up. so about only way to crack it up, is to use the FEL like a large pry bar, and raise chunks up and then let them free fall drop in place. it is going to be a messy job in a sense of tearing up yard, as you move the tractor all about going at different angles. but it should be doable,