Getting the Windows Token When Using ActiveDirectoryMembershipProvider/Forms Authentication

I'm using the ActiveDirectoryMembershipProvider along with Forms Authentication and I would like to get the Windows Token for the authenticated user.
The identity used by forms authentication appears to be a FormsIdentity, not a WindowsIdentity. This means there is no token exposed.
Is there a way to get this token without having to do a LogonUser interop call?

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