The White House is the GWB or which ever Presidents that currently resides in it.
And the position of the Republican party is not in favor of amnesty, nor continued illegal immigration. The current thinking is to make a guest worker program with computer ID tracking that makes sure the immigrant worker goes home after a couple years.
The position of the Republican party is for what ever GEB wants. He is their golden boy and he wants amnesty and open borders. The fact that that Republican party leadership has ostracized and publicly stated that Congressman Tancredo's opinions of controlling the border, stopping illegal immigration and not giving amnesty to anyone, is not the opinion of the Republican parts, should tell you exactly where the Republican stands on these issues..
Also, as with every guest worker program in the past, if a new one is implemented, it will allow the guest worker to apply for residence and then citizenship. All past guest worker programs have this loop hole and any future guest worker program will also.
GWB wants Amnesty for all Mexicans and will do everything in his power to get it. The Republican leadership in Congress will do exactly wants GWB wants on this issue.