He is right that Government jobs ar down since January so all NET job gains have come from the private sector. However, that does NOT mean that 100% of "new" jobs are in the private sector.
As for his claim that "we are reducing the Government Workforce by numbers that have never been seen before". Government jobs are down 188,000 since January - a 10-month span. In reality, Government jobs were reduced by over 800,000 in the 10 month period from May 2010 to March 2011. Government jobs were down bu a significantly larger percentage during almost the entirety of Obama's 1st term than they've been under Trump.
To say that all the Government jobs eliminated are not necessary is insane. We know of tons of stuff that isn't getting done that should be because people were fired and not replaced. That includes many functions that should be considered "essential" and were considered as such in the past.
Finally, if the 188,000 drop in Government employment were added back to employment roles, that would decrease the unemployment rate from 4.6% to 4.5%, NOT 2.0%. Even if we add back the full decrease in Federal Government jobs, it would still just reduce the unemployment rate to only 4.4%.
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