It's in the realm of tinfoil hat and freakishly paranoid conspiracy theories that there's any meaningful amount of non-citizens voting. Feel free to design a system that meets the John Rawl's "veil of ignorance" thought experiment, such that the burden of obtaining such ID is equal among all. What would that really look like? If Joe Bob has to take 2 hours off work, without pay, to get ID, how do you get a Warren Buffet or Jeff Bezos to go without pay for two hours? Charge them $3 million for their ID card? And if you do, is their burden really the same when they still take home $30 million that day, while Joe Bob lost $30 out of his $600 weekly pay, plus the $30 cost of the license or 10% of his weekly take home? And even if you charge ~$17 million for Warren's driver's license, his weekly take home is still $160+ million. So is that the same burden?

By the way, the single prosecuted case of voter fraud from 2016 I'm aware of, is a man in Colorado, who voted for his wife after she'd moved out of state. They're both citizens.