G.K.
This is probably my biggest fear in life, and it stems from the fact that nothing in my life right now has my name on it. The truck is in my husband's name, and we rent, so I wouldn't have to worry about that. If your name isn't on the house deed, then you really don't have a legal leg to stand on in that regard.
However, I'm a tigress when it comes to my kids, and there is NO way I would ever agree to something because someone told me I have to. 50/50 custody, in my experience, creates more problems than it helps. My sister is the best example, and they only live 10 minutes from each other. The rules are drastically different between Mom's and Dad's houses, and the kids are cranky when they get back due to different bedtimes and not getting enough sleep, etc. I'm not saying that will happen, but in my opinion (and I'm passionate about this opinion), a 2 year old child's place is with his mother, barring any legal or medical issues. I would fight that with everything in me, even if I had to take out a loan to fight it!
That passion is showing itself to a friend right now who's going through a situation very similar to you. She works, he stayed home with their 2 yo son. She had to leave the house, but is still paying for his rent. Somehow he has their son, and it's been SO HARD for me to try not to be pushy because I don't know all the specifics.
You have to do what feels right, and I definitely agree that getting out quicker and cleaner is better. BUT not when it comes to your son.