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Even if the governor is skeptical of the proposal, analysts say he likely will go along rather than further damage his standing with conservatives who have made voter ID laws a major issue in recent years.

“I would be surprised if he struck it down,” Mr. Holsworth said. “If he went against this and didn’t go against the transportation tax, it would probably alienate a lot of people.”

Mr. McDonnell appears even less likely to strike down a bipartisan bill to ban domestic drones for two years, even though he has voiced support for the technology in the past.

The measure passed with overwhelming support in both chambers, which raises the likelihood that lawmakers could override a potential veto with a more than two-thirds vote in each chamber.

If the governor amends or vetoes any legislation, the assembly would reconvene April 3 to weigh his decisions.