Donald Trump never called the virus a "Democrat hoax". There's plenty of room to criticize his handling of the pandemic (much of it was totally incompetent) but at least get your facts right instead of lying.
https://www.politifact.com/article/2020/oct/08/ask-politifac...
This part:
> But apparently the plan was (a) to use federal funds and manpower to get vaccines spread as widely as possible. There was an early goals of 100M doses in the first 100 days, which was met
Trump's Operation Warp Speed got the vaccines out with federal funding, and deployment under the Trump administration had reached 1.6 million per day before he was out of office - higher than Biden's original goal. That was why they had to increase the goal afterwards.
So, no, they are not the same plan. There is a reason why counties that went red have lower vaccination rates and more severe covid-related problems.