IF she has been involved in illegal activities, that can certainly be brought up in a custody battle. The Family Court will normally run a probation report to view all parties' arrest records. Being a stripper is not so much a taboo thing in today's day and age - unless, of course, she was also performing "extras". Please consult an attorney as a custody battle is a complex situation and without legal counsel, terribly difficult to win.
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Both things can & should be brought up, but how much weight they'll play depends in part on whether you knew of her conduct & acquiesced in them. That said, I highly encourage you to schedule a follow-up consultation with a NYC Child Custody lawyer.
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You certainly can raise both issues, but keep in mind that if you married her and had a child with her, presumably after she stopped this behavior, and you knew about it, and there is no active danger at this point, you might not get that far.
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