I'm really surprised Alice is going to do the rounds on TV - she's not in good shape emotionally. Maybe she's resorting to this because she needs the money and is telling herself she's fighting back for all maligned women?
It will just make Ioan dig in his heels and the prospect of an amicable future co-parenting with Alice will become even less likely. This is a really bad idea.
She seems to be making her decisions impulsively, not for the long-term.
Obviously if Ioan has been playing around or the prospect of an affair with Bianca has been on the cards for a few years, then he's a tit. Many men do the "of course we're okay, honey, you're being paranoid" thing when the wife/partner picks up on something being wrong. But then again, Alice hasn't exactly been respectful of his public image either, pre-breakup.