We'd all freeze. Either:
1) The Ice Wall would have, over time, taken in enough of the thermal energy to slowly cool the Earth. Is the sun(s) are as small and close as you all say, they can not, through light, provide enough energy to slow this process - either that, or this Ice Wall will constantly shrink and melt due to the addition of thermal energy.
2) The Ice Wall is small enough for it's end to be seen by pilots in the air.
No pilots have ever made any of these reports.
Enough of these pilots would be scientists themselves who would undoubtedly wish to share their findings.
The government cannot constantly silence these scientists with anything but death - the deaths so many scientists would cause a stir in the scientific community.