Ha. It says give them the "option" to collect SS numbers. And if a potential refuses to give their number does anyone really think the organization would refuse to collect the donation? This is just a first step toward making it mandatory.
If donors have to give charities their SSN to get a tax deduction, more will choose not to give anything or only give to one or two specified charities instead of many different ones simply due to the identity theft risk.
Only a few I think will choose to give money without the tax deduction.