First of all you need to avoid selection; How to avoid using Select in Excel VBA macros
Specificaally about your code; I would try comparing two arrays as it always faster to work with arrays and also it doesn't need a dummy-sheet. However, your approach, except the selection part is faster in my mind. So I would include the explicit version of your approach shortly.
Sub CheckColumns()
Dim arrS1 As Variant, arrS2 As Variant
Dim LastRow As Long
With Worksheets("Source1")
LastRow = .Cells(.Rows.Count, "A").End(xlUp).Row
arrS1 = .Range("A1:A" & LastRow)
End With
With Worksheets("Source2")
LastRow = .Cells(.Rows.Count, "A").End(xlUp).Row
arrS2 = .Range("A1:A" & LastRow)
End With
If UBound(arrS1) <> UBound(arrS2) Then
MsgBox "Different Columns"
Exit Sub
End If
same = True
For i = LBound(arrS1) to UBound(arrS1)
If arrS1(i) <> arrS1(i) Then
same = False
Exit For
End If
Next i
If same = True Then
MsgBox "Same Column"
Else
MsgBox "Item " & i & " does not match. Stopped checking further"
End If
End Sub
This is the explicit version of your method:
Sub CheckColumns()
Dim rngrS1 As Range, rngS2 As Range, rngSH As Range
Dim LastRow1 As Long, LastRow2 As Long
With Worksheets("Source1")
LastRow1 = .Cells(.Rows.Count, "A").End(xlUp).Row
Set rngS1 = .Range("A1:A" & LastRow)
End With
With Worksheets("Source2")
LastRow2 = .Cells(.Rows.Count, "A").End(xlUp).Row
Set rngS2 = .Range("A1:A" & LastRow)
End With
If LastRow1 <> LastRow2 Or rngS1(1) <> rngS2(1) Then
'Second condition checks names of the columns
MsgBox "Different Columns"
Exit Sub
End If
With Worksheets("Sheet1")
Set rngSH = .Range("A1:A" & LastRow1)
End With
rngSH.Value = rngS1.Value
Set rngSH = rngSH.Offset(0,1)
rngSH.Value = rngS2.Value
Set rngSH = rngSH.Offset(0,1)
rngSH.formula "=IF(A1=B1,0,1)"
Worksheets(Sheet1).Range("D2") = "Sum(C:C)"
If Worksheets(Sheet1).Range("D2").Value <> 0 Then
MsgBox "Different Columns"
Else
MsgBox "Same Columns"
End If
End Sub