Can My Job Force Me To Use Facial Recognition?

I work for a large company that's switching to a new payroll system, and they intend to use tablets with facial recognition to have us clock in and out if we don't have a specific computer assigned to us. Many employees have said they don't want to do this due to privacy and data safety concerns, and the word from management is basically "tough, that's what's happening and it isn't changing" are they allowed to force us to use this system or do they have to provide an alternate option? They keep assuring us that the data is safe and well protected by the company, but we're all fairly educated in data safety and are aware that companies often lie about/fail to actually protect data. We're based in the USA/FL

Edit: Follow up question, if eventually we find out that the third party company running the face scans has failed to protect our data, would we have legal recourse? I'm not sure if there is any form of agreement we have to sign first when we register with the system, but if there is I'll encourage everyone signing up to read it thoroughly.