You better remain where you are please. He should be the one travelling for so many reasons.
1 - It is his sister sponsoring so it is better she sponsors her own brother.
2 - He is the head of the family and should hustle himself while you support.
3 - He is the one with a low paying job.
4 - Your kids are babies as you said, so are you going to be studying and looking after kids including working while living with sister-in-law, so what will your darling hubby be doing?
My dear if you are ready to suffer then go to the USA but if you want a peaceful and contempt life please just remain where you are let him go and hustle himself.