1. How would that work? The default gateway is the router for networks outside the host's own network. You can't reach a router on another network if you don't have a router in your own network to start with.
2. If it's the same physical network, and the scopes overlap, then, yes, there will obviously be lots of problems.
3., 4. I'm willing to bet top money that your current AD is slow, that reboots and logons take a long time, and that you have all other sorts of security related trouble, and it's because of incorrect DNS settings. Check the articles below to see how DNS for an AD domain needs to be setup (and, yes, they still apply to W2k8). After this fixed, you actually might not need to replace your current domain anymore.
10 DNS Errors That Will Kill Your Network
http://mcpmag.com/features/article.asp?EditorialsID=413Frequently Asked Questions About Windows 2000 DNS and Windows Server 2003 DNS
http://support.microsoft.com/?kbid=291382Best practices for DNS client settings in Windows 2000 Server and in Windows Server 2003
http://support.microsoft.com/?kbid=825036