"Can't be bothered to take any extra effort?" Checking off the box on your license application IS registering to vote. If you are so fond of picture ID and offended by (hypothetical) fraud, what better time to register than when you're getting that very ID?
Believe me, if the person lacks ID, there are very specific requirements re identity. If the law is not being followed, that's a different problem. To accuse anyone who doesn't endorse your particular preferences for ID as favoring fraud is ridiculous. There's no perfect mix. Also, fraud is practiced by both sides; to focus on fraud only by the poor (by using the hassle method) is to put one's thumb on the scale. Besides, no one has bothered to prove the alleged widespread fraud, though there are also methods to challenge the qulaifications of voters at the polls.
The only motor voter issues I saw, BTW, related to the government dropping the ball and failing to register people. The voters I saw were qualified and eager to do their duty as citizens, and it's really upsetting to see them tripped up by red tape and gov't incompetence when so many people just stay home. That's not lazy, it's patriotic.