Physically, you could do whatever you want with seatbelts & airbags. Most likely state law will require seatbelts but maybe not require airbags.
Certain state law (Calif??) requires that if the car was originally equipped with airbags, then you are required to have them. I don't know the laws in all states. Heck, I don't even know all the legal details in Ohio.
As far as Honda covering stuff under warranty, I doubt they'll cover airbags that go off in a collision. After all, they did their job. Seatbelt are probably the same way. But it's worth a phone call to ask.
'05 Saab 9琊 aero (RIP)
'09 Saab 9連s
'10 Saab 9連c
my kids have Civics