I had missed my flight due to weather conditions and I had to spend the night at the airport with my 10 month baby. Do you think I should had received an hotel voucher or some type of accommodations other than sitting on the floor with my sleeping?

Act of God clause...no hotel, just reimbursement of ticket or flight reschedule.

Yes should have

I think so, however, they explain ," that is an act of God". Therefore, no accommodation and reimbursement would be provided. They would only arrange for another flight the earliest available.

Sure!