Create a vbscript with some like this:
On Error Resume Next
'===============================================================================
'Add Workstation Administration Group to Local Administrators
'================================================strComputer = "."
Set objLocalGroup = GetObject("WinNT://" & strComputer & "/Administrators,group")
Set objADGroup = GetObject("WinNT:///,group")
objLocalGroup.Add(objADGroup.ADsPath)
'================================================
wscript.Quit
You can add this to the domain login script with a GPO. I am not sure I understand the interference part.