OK:
Let's use "IPv4+" scheme as described by redox99: we still have dotted-decimal, and IPv4 addresses are guaranteed to be accessible via IPv4+ interface.
Right now, most application software need non-trivial rewrite to add ipv6 support: it has to support 2 sockets instead of 1, and ":" in address breaks basically every address parsing function out there. With IPv4+, you do search/replace "sockaddr_in"->"sockaddr_in4plus" and AF_INET->AF_INET4PLUS. That's it -- since backward compatibility guaranteed, my software still works on IPv4 system, and hostname parsing is not broken. There might be some minor breakage (unexpected dependencies on struct size or ipv4+ address string length), but it would be way, way smaller than the mess IPv6 is in too.
Right now, I have to set up my firewall twice for ipv4 and ipv6. But with ipv4+? I should be able to write "-m tcp --dport 80 -j ACCEPT" once and have it work with both.
Right now, all the network monitoring tools have to have separate "ipv4" and "ipv6" codepaths. But with ipv4+, there could be only one codepath. Yes, packet parsing will have to handle two different IP header format, but once it's parsed, old and new are treated identically.
Sure, the network layer will be more complex. The IP stack in kernel would need to determine if the address is "short" or "long", and format packets differently (either old or new format). The high-performance routers would need to be rewritten. The TCP/IP network card offload will need to accommodate new format.
But this would be way, way less intrusive than current IPv4->IPv6 transitions, because for each line of low-level network code there are millions of lines of application-level code, and for some totally stupid reason the app code transition was made way harder than needed.