Well that would be modern capeshit. I'm saying go full autist and point out that No Heart is basically a more powerful version of Darkseid or maybe even Mandrakk, and he could probably solo the entire Green Lantern Corps as well as the rest of the Emotional Spectrum. Shreeky is basically Psycho Pirate combined with Black Canary, both of whom have powers that make them uniquely able to tweak the fabric of the DCU. The Care Bears and the Care Bear Cousins would naturally just take over the whole Emotional Spectrum after No Heart wipes out all the previous Corps. But they would probably end up on different sides. I wanna see a War of the Care Bears.
I'll admit I haven't watched Care Bears since the early '90s, but I'm sure if I delved into it and watched all the different series, I could get some good autism going. Get the different villains fighting each other and see what really makes each one tick. Explain why Beastly looked so different in the '80s compared to the 2010s, and show how he came to lead his own army. He certainly seemed pretty disillusioned with working for No Heart back in the '80s, maybe he's the one who turned on him and finally destroyed him. The Care Bears, in their naivete, would have thought that Beastly was redeemed, like they always knew he would be, only to find that he became a far more terrifying monster than No Heart ever was.