If I'm a Mexican citizen with no Mexican passport, can I fly with a Mexican credential and birth certificate can I still fly

I have no idea contact the airlines?

You need Passport

You need a Passport and a Visa to enter US from Mexico as a Mexican citizen

Depends on what you mean by credentials. If you hv a mx voter registration card, and you are departing the US on a one-way ticket you can fly out but you will not be able to fly into the US without a passport. Hope thus helps.

I believe you need a passport to enter another country but suggest contacting the airline directly.

Don't know. Contact the airline.

You need Passport to Enter US. Check Alaska Airlines

Not 100% sure on that

Might check with carrier but I think you can.