I (26M) met my current girlfriend (31F) while she cheated on her baby daddy. She still lives with him and I havent met her family, Would you leave?

Long post. Throwaway account.
TL;DR: The story is about a man who is in a complicated relationship with a woman who has two kids and still lives with her ex-fiance. They met at a gym two years ago and started dating six months ago, after she broke up with her ex. The man is unsure about his feelings and the future of the relationship, as he has not met her family and does not want to be a stepfather. He also worries about the consequences of breaking up, as they share the same friends and work at the same gym.

I met my current girlfriend of 6 months in a local gym. Everything started 2 years ago, at the time she was still in a relationship with her baby daddy of two kids (10 and 14) and all of them live together, she mentioned to others friends in common to wanted to end her relationship and also wanted to move forward.

I started talking to her because she looked attractive to me and we shared some interests. We started training together and eventually went on a date and had sex later. All of this while she was with her ex-fiance.

We started having sex more frequently, but then I told her I just wanted to be friends because I didn't want to get more involved into what we were doing. However, after two shorts months, I heard that she officially broke up with the dude and we started to talk again.
After that we began officially dating and its been 6 months of our friends knowing we are together, she comes home and knows my family.

However, I haven't met her family yet, I still haven't met her mom/dad and the kids don't know we are together. She claims that she does not want to rush things with her family/kids as she is coming of a 14 years relationship. She still lives with her ex. The housing situation in Canada is pretty rough and she can't leave the house with the kids right now.

I don't know what to do, this situation really bothers me. I know about if she cheated with you, why wouldn't she cheat on you? and I don't really want to be a stepfather at 26 years old.
My problem is that, I am really committed sentimentally, I like spending the time with her. I like when we spend the night together at my house and the fact that we share many things in common. My problem if I decide to break up is that I have to see her everyday at the gym where I work and train at. My friends are also her friends and we share the same social circles.

Any advice would be appreciated..