A Streetcar Named Desire presents the American dream through irony. It is represented in the character of Stanley Kowalski, a Polish American who could boast a good job for substenance, a home, a stay-home wife, and a certain success in his job which allows him to have these things.
On the other hand, he is kniving, evil, cruel, chauvinistic, abusive, and overpowering behind closed doors. He is also reproachable in his treatment of Blanche who, no matter what, did not deserve being raped by him and much less have her life torn apart by his cruelty.
Concisely, Williams presents an ideal which is hardly attainable, in the open hands of a man who seems in the outside like the epitome of the American Dream, but in the inside is the epitome of a nightmare.