You are correct about Truman but wrong about Eisenhower. He deported 1.3 million illegals. You had the right number but not enough zeros.
Back during the early years of the Great Depression, then President Herbert Hoover ordered the deportation of all illegal aliens in order to make the jobs available to American citizens that desperately needed work. Approximately one-million Mexicans were sent home during this endeavor
Once again in 1954, President Dwight Eisenhower deported 1.3 million Mexican nationals (called Operation Wetback) in order that returning American WWII and Korean veterans had a better chance at jobs.
Some of this is going on today too. A lot more people are getting deported. Criminal charges are being filed against people coming back in after being deported, and if they are “criminal aliens,” having been convicted of felonies before being deported in the past, they're looking at some potentially serious federal prison time. Those that weren't deported as “criminal aliens” are getting charged and usually spend a few months behind bars and are given time served and sent home with a warning that there will be a lot more prison time the next time they are caught here. We're even deporting a lot of green card holders for things we weren't likely to get deported for in the past. A lot are being deported for past crimes the government has known about for years and even renewed their green cards knowing about their records. Now they are deporting these people who are often married with children, homes, jobs, the works. When they go a lot of times their families go too, and others are seeing what is going on and it's scaring them. Record numbers of green card holders are filing for citizenship now because they are worried they'll get deported too. All the indicators are showing a marked decrease in the number of people coming over here and it looks like a lot are leaving. If things keep going like they are going we may very well see millions leave in the coming years.