All perfect praise be to Allah, The Lord of the Worlds. I testify that there is none worthy of worship except Allah, and that Muhammad is His slave and Messenger.
For the ruling of the Shari'ah concerning buying a car by leasing, please refer to Fatwa 81863.
As a rule, what is forbidden cannot become lawful unless there is a dire need. So, if your wife is in dire need to work and she cannot go there safely by using public transportation, then she can buy a car by the way you mentioned as long as there is no other legal way.
Allah knows best.