Singapore, a multicultural society, has a pretty progressive baby bonus[1], among other countries. They think that's what works best for their society. They could import labor, but they prefer do it their way. It seems to work for them.
Will those uneducated immigrants earn money when they are no longer needed due to automation? If you have to pay to educate them anyway why not just have your population have kids instead of importing?
The uneducated ones we need to fill the jobs that educated locals won't do and won't be automated in their lifetimes. But a lot of them are educated and we need them too.
That's my point, incentivize our own citizens to have kids using the money that would otherwise be spent on immigrants. Preferably you would make it a tax cut so that middle class would have kids.