Don't forget that there's a multitude of
zimbra hosting partners as well if you want to go that route who are well versed in hosting email

-They can help you migrate all your current mail & you essentially just point your domain's mx record at them, it's that easy.
I guess it does sound like you want a fetchmail setup or automatic forwarding from the main setup.
The backup mx thing would only interact with other mailservers after they attempt to send to your zimbra box first and can't find it - your users wouldn't connect/use it to read mail, it would just hold incoming mail until it could pass it off to your zimbra setup. Mailservers typically retry sending for 24-96hrs but a backup mx record is always a good idea so you don't miss out on anything.
Are you planning the network edition or open source edition? (
compare editions)