"doing the dull baby stuff"
This is such a selfish attitude to parenting.
Caring for babies is tedious and often monotonous but is also over so quickly, a few months and they crawling and you get to watch them explore and experience the world, a year or two and they're, in many cases, off to nursery and then shortly after that to school. Moreover, its a very poor parent who can only offer peek a boo and nappy changing - unimaginative at the very least.
Stay at home parenting is just as valid and as much of a valuable contribution to the wider society as 'operating on people'. It simply is and I can't be bothered to argue about it yet again.
To the OP, families should do what suits them personally, there are no hard and fast rules. Stay at home parenting can be incredibly rewarding and as I've noted above, does not have to go on forever. You need to evaluate your own financial situation, is it even feasible for you to give up work? Is part time work combined with say a childminder an option?
In our situation I am the main provider while our dcs are small, DH provides most of the care during the day (although I arrange my hours so I get a portion of the day with them too), and works part time (he's self employed also so this works well for us). DS1 is at nursery about half the week and soon we'll be starting ds2 there also and over a year or so building him up to a similar level of time. DH will then go back to work. When I'm not working everything (house work, childcare etc) is joint responsibility. This works really well for us, the children get loads of time with me and dad, ds1 gets social activities at nursery and the bills are paid.