IPv6 is more secure than IPv4 as they built security in to IPv6. Most firewalls have IPv6 blocked by default as most people are not using IPv6 at this time, and you only need to enable it on firewalls if you are using IPv6.
The problem with the IPv4 allocation is in the early days large blocks were given out to companies and many of these IPv4 addresses will never be used. Most IPv4 address have been allocated to the US, so the US has an abundance of IPv4 addresses. Hence why your state probably will not run out of IPv4 addresses.
The problem is the rest of the world does not have as many IPv4 addresses. IANA has now run out of IPv4 addresses with the last remaining blocks of /8 being issued to Regional Internet registries last February. These last remaining IPv4 address are set to run out, with APNIC in the Pacific and Asia down to it's last block of IPv4 addresses and set to run out completely before the end of this year. In Europe you can now only get enough IPv4 addresses from RIPE that you can justify will be used within 3 months. This is making it very hard for us to get IPv4 addresses and by this time next year we may not be able to get any at all!!
With your own network if you wish to stay with IPv4 then you could use tunnelling to access the IPv6 Internet. There are lots of protocols to do this like 6over4, Toledo, etc.
In our case as a web host we will have to look at running a Dual Stack with services having both IPv4 and IPv6 addresses so that every one, whether they are on IPv4 or IPv6 can access services and websites.
Your network admin may not like change, but it's coming. There are also lots of advantages to using IPv6, like built in security, getting rid of NAT's, mobile IPv6, faster forwarding, new header format, stateless and statefull address autoconfiguration, and much more.
Edited by WebWiz-Bruce - 16 January 2012 at 1:18pm