Government spending doesn’t necessarily create jobs, since the money it spends is taken from other people (as either taxes or inflation). It merely redistributes jobs.
By your logic the only jobs that can be created is by deficit spending, and since the private sector cannot create money, but the government can, the implication is that only the federal government can create jobs.
But sure, The government is redistributing its wealth and helps stimulate the rest of the economy with the workers they employ. Even for private sector it keeps the wheel turning.
By taking trillions away from the private sector (in taxes, inflation), it costs the economy tens of millions of jobs.
It then spends that to create new jobs. Some of that spending has a positive ROI, such as employing 100 police, to allow 10,000 people to focus about innovating rather than their own safety. On the flip side are many of the jobs in Washington, which dont create any multiplicative benefits for society and are net negative.
Congress allocates that, so any grievances on what they agree to spend should be take to your reps. The deadline is in 3 weeks, so be swift!
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But to go back on-topic: the everyman just sees a job they get money from and can use to invest or stimulate the economy. The other economic overhead is not affecting their day to day... Usually. At least not to a point they complain.