If one makes a Quiche with bread-dough, does it become Pas Habaah Bkisnin and the Brocha would be mzonos or not?
According to Halachos of Brochos (by Rabbi Yisroel Pinchos Bodner):
Broccoli, Mushroom, and Spinach Quiches are Mezonos (and the mezonos also exempts the filling).
As for the Bracha Achrona: It's Al Hamichya if a K'zayis of crust was eaten in K'dei Achilas Pras. If not, Borei Nefashos [provided there was shiur when combining with filling]. And if one was Koveah Seudah on it, Hamotzi and Birchas Hamazon are required.
As to whether the case brought down in the sefer is the same case as your described
Could you post the recipe? It could give a clearer picture as to what kind of quiche we're dealing with.
If the Quiche has a crust, you would make a mezonot, as in yydl's answer - unless the crust is made from whole pieces of bread.
As for Quiche filling without crust:
Quiche filling made from bread: (Brochos 37a)
Also, If the quiche has recognizeable slices of vegetables, and it's not a hamotze or mezonot, you may need a haadamah as well.