We have a number of laptop users. Because of the type of company we are, we force the users to come through our network even when remote. Their laptops are on the domain, but thats primarily because they also occasionally come in to the office and it just makes it easier. We have their IE settings locked down so that they have to start up a VPN and connect to our network before being able to access the Internet.
Our IT folks have more leeway because we need to be able to quickly get to multiple things. We connect to a VPN or also have an RDP server available much as you do. Most of us have PCs that have been tied to the domain because it makes it easier when connected to authenticate to resources. However, my PC has never been on our network directly and isn't tied to AD. I get on OK as well, but because I'm not tied to AD I have to do more "manual" authentication... but I'm a geek and don't mind the extra key strokes. :)