I disagree with your premise that nationalized citizens will vote Democrat. The abortion and marriage planks in the Dems’ platform is offensive to the family- and church-oriented immigrants.
However, on amnesty, here’s what Governor Perry said last year:
http://oneoldvet.com/?p=23146
The facts don't bear you out. Immigration, Political Realignment, and the Demise of Republican Political Prospects
Take a look at Harris County, Dallas County, Tarrant County, and Bexar county. Immigrants vote Democrat and have historically.
The U.S. adds one international migrant (net) every 36 seconds. Immigrants account for one in 8 U.S. residents, the highest level in more than 80 years. In 1970 it was one in 21; in 1980 it was one in 16; and in 1990 it was one in 13. In a decade, it will be one in 7, the highest it has been in our history. And by 2050, one in 5 residents of the U.S. will be foreign-born.
Currently, 1.6 million legal and illegal immigrants settle in the country each year; 350,000 immigrants leave each year, resulting in a net immigration of 1.25 million. Since 1970, the U.S. population has increased from 203 million to 310 million, i.e., over 100 million. In the next 40 years, the population will increase by 130 million to 440 million. Three-quarters of the increase in our population since 1970 and the projected increase will be the result of immigration. The U.S., the worlds third most populous nation, has the highest annual rate of population growth of any developed country in the world, i.e., 0.977 percent (2010 estimate), principally due to immigration.
87 percent of the 1.2 million legal immigrants entering annually are minorities as defined by the U.S. Government and almost all of the illegal aliens are minorities. By 2019 half of the children 18 and under in the U.S. will be classified as minorities and by 2039, half of the residents of this country will be minorities. Generally, immigrants and minorities vote predominantly for the Democrat Party. Hence, Democrats view immigration as a never-ending source of voters that will make them the permanent majority party.