(about 30 percent of the inmates in federal prison are not citizens)
The vast majority of incarcerated aliens have entered the United States illegally, rather than entering the country legally and remaining past the authorized period of stay. Sentenced illegal aliens are generally poorer, less educated, younger, more likely to be male and Hispanic, and less likely to have dependents than the incarcerated legal aliens and U.S. citizens.5
Table 12 at page 9 (I haven't figured out how to drag it over to this site) shows incarceration rates, by age, by race. For comparable age groups, Hispanic rates are generally somewhat (20-50%) higher than the general population, and about double the "white" rate.
Federal prisons have only about 10% of all prisoners, and would be expected to disproportionately contain violators of immigration, smuggling, etc. laws
the chart shows that Hispanics, amounting to about 12% of all persons in this country, are about 20% of all prisoners. However, since on average, Hispanics are younger than most other residents (85-year old immigrants from Poland or Italy don't commit many crimes, pace Uncle Junior), the age-comparable figures show the Hispanic rates are somewhat, but not enormously, higher than for the general population of the same age.
It does no good for the border argument to use false data. It's far too easy to it shoot down.