Is the distribution and injection rate of the Covid vaccine in the US fast enough or too slow?

I haven no doubt they are moving as fast as they can.

^^This is from a Politico article.

Daily cases averaged more than 178,000 and daily deaths 2,280 over the past week despite holiday data disruptions, according to the COVID Tracking Project. More than 125,000 people are hospitalized with the disease.

Sen. Mitt Romney (R-Utah) on Friday said that the federal government must step up its vaccination planning and administration efforts. The effort to date “is woefully behind,” he said, calling on the Trump administration to add vaccination sites at schools across the country. So far the federal government is leaning on retail pharmacies and hospitals to administer the bulk of Covid-19 shots.

“That comprehensive vaccination plans have not been developed at the federal level and sent to the states as models is as incomprehensible as it is inexcusable,” Romney said.

That’s the point that no one bothers to think about. It matters little how quickly you bring a vaccine into existence nor how massive your production if you lack the public health infrastructure for its distribution. Just as certainly as the failure of central and unified leadership guaranteed that out of all the first world nations on earth, ours alone is gifted FIFTY separate pandemics, with EXACTLY the infection and casualty figures one should expect. The consequences of our disjointed and woefully underfunded public health sector is so pronounced that just as surely as it is currently clear that where you live in the United States may well determine whether you live or die, this fact will almost certainly balloon in the near future to panic if not beyond.

The problem is waking up enough staff who are working overtime with patients to actually give the shots.
My state has stacks of cases to administer, but not enough people to hold the syringes.