Factual error: Take a look at Google Earth - the section of the Golden Gate Bridge Magneto breaks off (about a mile - tower to tower plus a section each end) isn't anywhere near long enough to reach Alcatraz from anywhere on the mainland.
Factual error: After the troops are mobilized to fight against the Brotherhood and guard the cure clinics, they make a big show of them turning in their M16s and other metallic items and getting their plastic weapons so Magneto can't use the metal against them. But they wouldn't have had their M16s, to begin with; you pick up your weapon after you arrive for mobilization at your unit. They would have shown up unarmed and then had the plastic weapons issued to them right after they reported for duty. (Most likely, the scene was made just to get the point across to the audience that they need to get rid of all metal and to look flashy). Prior to the President responding to Magneto's declaration of war by mobilizing the troops, the cure clinics were guarded by civilian law enforcement, not US troops.
Factual error: When Magneto has moved the Golden Gate Bridge, we see the President looking at a Satellite Image of Magneto's work. In this image, Alcatraz Island is bigger and closer to the shore than it is in real life.
Chosen answer: Both Wolverine and Mystique's mutations cause them to age slowly; effectively the normal human body deterioration is slowed for them, giving them a younger physical age than their actual chronological age. If that mutation was removed, then the factor that slowed their ageing would no longer function, but they wouldn't abruptly "catch up" with their actual age, they would simply possess a body at their current physical age which would age as a normal human after that point. As for the adamantium lacing Logan's bones, were his healing factor removed, he might well swiftly suffer extreme levels of toxic shock, which would likely prove fatal.
Tailkinker ★