When dis you enter the country with F-1? Are you sure that you have passed the substantial presence test?
Yes , if you are indeed a Resident Alien for Tax purposes, and your wife is under your visa i.e. her F-1 is subservient to your visa, then you both would be considered Resident Alien for tax purposes. File MFJ ( Married Filing Joint ) since you have an ITIN/SSN and she has SSN.
