Your bank is going to follow the IRS requirements and pay them when required.
I will say that I sued a customer, won, and levied his bank account. His retirement check hit that account and was held.
Some deposits are often not attachable. Your SS check may be in that category. But, the IRS also has separate rules when it comes to the collection of a debt. It is advisable for you to contact the IRS and ask what is going to happen and in what time frame, or contact an attorney (possibly one offering a free first consultation) to see if your SS deposit is subject to the levy.
The bottom line is that unless you work out your IRS debt, this will be a lasting problem.