You are right in that neither Biden, Sanders* and other Democratic Party leaders are not done and they say so too.
(Sanders is not a Democrat so it's complicated)
What Bernie said about the bill:
Bernie Sanders remained optimistic on Sunday that Democrats will finally come together this week and pass Joe Biden’s domestic spending and infrastructure agenda, overcoming persistent opposition from two centrist senators, Joe Manchin and Kyrsten Sinema.
“We have 50 people that we have to get on board,” Sanders, the chair of the Senate budget committee and a leading Washington progressive, told CNN’s State of the Union.
“This is not easy stuff, but what we are trying to do is put together the most consequential piece of legislation in the modern history of this country, which will transform the role of government in protecting the needs of working families.”
What the Biden administration says:
On NBC’s Meet the Press the energy secretary, Jennifer Granholm, suggested Biden’s approval rating would be boosted when Americans see what is in his spending bill.
“Once people see this,” Granholm said, “they’ll see that they’re going to get a continuation of that child tax credit. They’ll see people being put to work in clean energy all across this country.
“They’re going to see the ability to have senior citizens and people with disabilities being cared for in their homes. They’ll see their costs of living come down as a result of having children. This, to me, this bill and the real impacts that people will see, will have an impact on those ratings.
“And you know what? The president is focused on the middle class and the working class. And once they see that they don’t have to pay one dime for it, if you make less than $400,00 a year, and they get the benefits, we’re starting to rewrite this income inequality that has been plaguing this country and really held us back.”
‘This is not easy stuff,’ says senator as battle to pass bills has damaged the president’s approval rating
www.theguardian.com
So, we'll see. 2022 election season has already begun and this is the foundation upon which Democrats will run. Republicans are trying to do to Biden what they did to Obama when the ACA was passed. It's working too. A
ll of the discord voiced from the right and the "Progressives" over the bill has hurt Democrats in recent opinion polls. It's time to get this thing passed and start using the money to build back better.