resident alien of the U.S. married to a U.S. citizen, process for getting U.S. citizen status

If you are a TPR and want to file for Citizenship, then u woudl filed the N-400 with the service -- there are no short routes -- you really don't provide enough information to go beyond this cursory answer.

If your father was a US citizen at the time of your birth, you likely were born a US citizen. Have you ever looked into this possibility?

What about your mother? Is she a US citizen? When did she become a US citizen?

Were you adopted? Did you have a child-parent relationship with your US citizen parents?

Whether you acquired citizenship through a parent depends on many factors.

You should review your facts and options with an attorney.