OK, just made the same switch, although I went thru one front and two rear Anakees in about 10 1/2k, second rear lasted about 5k of two-up and luggage riding in Scandinavia. I was delighted with the handling/grip of the Anakees, but decided to try the Battlewings as they were supposed to be comparable, but might stretch the mileage out a little ...
So, after about 1500 miles, they whiteline more, feel looser than the Anakees, particularly on the front, which seems to want to shimmy and generally doesn't feel anywehere like as firmly planted as the Michelins ... so have you adjusted suspension settings considerably for the newer tyres??
Overall, my confidence in the Michelins was rock solid to throw the bike around and the handling only went off after the front took a pounding under braking whilst abroad. The Battlewings are running at a colder time of year, but at the moment they make me want to tiptoe round ...