Two DHCP Servers On Different Subnets Same Physical Network?

I've done a very crude drawing of the network setup I'm working on. I just need to run an idea past some network guru's to see if I'm right about my idea.

The existing network consists of

Internet
Proxy Server
Several switches scattered around school
PC's

What the school wants to do is setup a side-along wireless network that uses the same physical switches but on a different subnet. The current subnet is 10.172.1.x .

To facilitate this I'm running a 2008r2 running RIP V2 to route internet traffic to 192.168.1.x subnet. I've had the wireless units use a static address and their own dhcp servers on the 192.168.1.x subnet. Wireless devices found their way to the internet fine. But I'd like to control the addresses from a single point of contact, hence the 2nd domain server running 2008r2. There are reasons for using a 2nd server, I've covered this in previous topics. If it's important, lets call it an intellectual exercise and leave it at that.

The question(s) : If I run a DHCP server on the 2nd server serving 192.168.1.x addresses, then any device on the physical network will obtain either an 192. or a 10. address correct ? The wireless devices will only take a 192. address because the wan address is statically assigned to a 192. address ?

The 2nd question : By setting a static routes out of the 2nd nic on the 2nd server, I can control the dhcp server so it will ONLY route dhcp requests to the statically assigned wireless devices ?