It is fairly well established that social economic status is the largest predictor for crime than any other predictor. In order for immigrants to commit crimes at a lower rate than US born people we would have to make the claim that immigrants has an average higher social economical status than US born people.

The statistics you are looking for is that the sum of all crimes is lower for immigrants than US born people. 13.8% of the US population are immigrant residents, so in order for the sum of immigration crime to be higher than US born people the rate would need to be close to 1000% larger, which it is not.

Aside from the confusing conflation of sums and rates mentioned in other replies, your argument assumes that correlations are transitive and exhaustive—i.e., that because socioeconomic status correlates with crime, any group with lower crime must have higher socioeconomic status. Which of course is invalid because correlations do not compose across variables, and crime is multi-causal

No, the way any serious person would look at crime data is per capita. You take the number of crimes committed by an immigrant and divide by the number of immigrants. That gives you a rate. The rate is lower than for people born in the US.

This may be the first time you are exposed to this idea, because you have been lied to repeatedly that crime is high and it's immigrants doing it, but it's well studied.