A family of 4 in the bay area with household income at $105350 is low income (http://www.mercurynews.com/2017/04/22/in-costly-bay-area-eve...). At 150K you'll be living in rented accommodations with $3K - $3500 in rent per month.
If you consider that your wife will start working, please be aware that daycare starts at about $1.5K++ per month (it might be advantageous for your wife to be a stay at home mom below a certain salary level).
I would recommend targeting a 200K+ total household income for this to work for you.