Demonizing the woman here may feel cathartic, but if you do it too much it’ll get in the way of developing a stronger, more sustainable view of relationships that will help you heal from this and avoid this kind of pain in the future.
Most breakups are not caused by terrible people. Most breakups are caused by simple incompatibility. We all know people who are perfectly decent, loveable people who we simply don’t want to date-- our friends who aren’t out preferred sex, for example. Bob may be a wonderful person, but if you aren’t in to dudes, it’s not going to work. Should Bob feel bad or inadequate about this? Should he feel like he did something wrong? Of course not. Not being compatible with someone isn’t a matter of value or worth. It just is.
Even for couples who have a well-established relationship and have set out together to have a child, child rearing is HARD. A recent study shows having a child has the same negative impact on reported happiness as losing a spouse. Think about that. Having kids makes people miserable. It touches every minute of your life, often in difficult, expensive, inconvenient and annoying ways. There are good parts as well, of course. Amazingly transformative good parts. But easy it’s not.
What can make having kids even harder? Incompatible parenting styles. There are a million ways to raise a kid, and righteous backseat parenting aside, if you provide love, some structure, and basic needs, most of them work reasonably well. Most people who grow up in basically loving homes turn out fine. Chances are this lady’s parenting style isn’t 100% ideal, but also isn’t horrible-- which is the same boat basically everyone is in.
But our dear OPs parenting style is incompatible. In an established marriage, this is incredibly hard to deal with, but with enormous commitment and maybe some counseling it can sometimes be worked out. And people put that work in because they are committed to parenting their kids together.
In the OPs case, however, that isn’t there. The OP doesn’t seem particularly excited to be a parent, which is frankly a likely deal breaker right there. Throw in incompatible parenting styles and you’ve got a situation where it’s just not going to work.
OP, go find someone who makes you happy without qualifications. And don’t become a parent unless you really, truly, are 100% committed to being a parent. And let the woman find someone who can give her kids the love they deserve, who doesn’t make her feel like she has to choose between her kids and her SO, and who can be a complement to her parenting style.
You’ll both be better off after this all settled down.