Nobody seems to be concerned that filling out tax forms is not especially convenient, or that registering a car can be a hassle, or that it might be easier to go through life without ever filling out an insurance form. You think the one thing in life that should have no obstacles whatsoever is voting?
As an American, I obviously think that buying a gun is the one thing in life that should have no obstacles. It's not like voting is a right of every citizen.[\sarcasm]
To me it makes a lot more sense to ask people to endure the relatively minor inconvenience of obtaining an ID than creating a voting system where we could not possibly know who is voting or how many times they are voting.
Voter impersonation accounts for something like 0.0001% of the vote, at most. If voter ID disenfranchises even one person, it is a worse problem than than voter impersonation.