Not to worry. I have never had lacquer based paints affect CA. And, like someone else said, you can put Alclad, at least, down on enamel. I use black enamel all the time under alclad. Besides, I put the black paint down on real primer.
Alclad should be used over black not as a primer (for chemical compatibility) but for its reflective properties. The alclad should go down very thin. So as long as you have a good glossy black coat, it doesn't matter how you got it, whether over primer or over bare plastic.