Having been in a situation before my wife had a SSN/Tax ID. I will say you can neither claim her nor use her for any deductions. US tax code requires those for every person claimed (dependants) irregardless of age or marital status. You will have to file as single, no dependants.
When she gats a valid visa to work here or green card she should be issued those. Make sure she actually has the required papers to be here before you bring her to save a world of trouble.