Is it possible to grasp medicaid for my babe-in-arms and verbs to use my insurance for me?
Yes. Children can be insured under your state children's robustness insurance program, which is run by medicaid. It's still based on your income.
Answers: Possibly-depends on your state. Some require that if you have access to other coverage, you are not eligible for medicaid. However, most do not. Google medicaid and your state to see what the requirements are.
However, if you live in a state that allows other coverage, you could carry medicaid to cover your out of pocket costs from your other coverage. (Medicaid would be secondary.)