In New Mexico Hispanics make up 40% of the population and 30% of the voting population.

From The Wall Street Journal:

Many Hispanics [in the fastest-growing states] . . . can't vote because they are too young or aren't citizens. Others don't vote even though they're eligible to do so. If past patterns hold, in 2008 only 19 out of 100 Hispanics will vote, compared with 40 blacks out of 100 and 52 whites . . . .

Voter participation remains low in states that have only recently started adding large numbers of immigrants, including Georgia and North Carolina. But it's rising in states where the immigrant populations are long-established. In New Mexico, for example, Hispanics make up 40% of the population and 30% of the voting population.