I can tell you that many will not!
When I re-read the SOS website it actually quotes the ID law:
R.C. 3505.18(A)If you have a valid driver's license, why does your address have to match? That doesn't appear in the law on that website. Who made the interpretation that a matching address on a driver’s license is required?
Voters must bring identification to the polls in order to verify identity. Identification may include a current and valid photo identification, a military identification that shows the voter's name and current address, or a copy of a current utility bill, bank statement, government check, paycheck, or other government document, other than a reminder or a voter registration notification, that shows the voter's name and current address. Voters who do not provide one of these documents will still be able to vote by providing the last four digits of the voter's social security number and by casting a provisional ballot.
Voters who do not have any of the above forms of identification, including a social security number, will still be able to vote by signing an affirmation swearing to the voter's identity under penalty of election falsification and by casting a provisional ballot.
Finally, this report indicates that a poll worker may have violated the law by denying use of a military ID.