hm rosy, perhaps rather than a BSc in psychology, you could do a diploma, or a Master of Advanced Studies, maybe in parallel to working? much of what one learns as an undergraduate is not strictly topic-related, but rather stuff like study skills, organised thinking, essay writing, etc. and you wouldn't have to re-do all this.
you will have demonstrated through your PhD that you can think, work independently, do research. what you need next is the psychological knowledge. yes, if you get some sort of formal education in psychology, i do believe you should be able to do research in both areas/interdisciplinary. but i'm no expert, maybe this is just how i think it ought to be, and far from reality.