[whpalmer4]

It's worth noting that a start date isn't necessarily the date you start working on something; OmniFocus treats it as the date you can start working on something.

There are a couple of options that come to mind:

Every night before midnight strikes, go to Forecast view and bump up the start date for any actions starting today that you won't finish today. A bit tedious if there are lots of them.

Call up the Omni support ninjas and have them construct a start date perspective for you and sync it to your iPhone.

While you have the support ninjas on the phone, ask them to put in a vote to have items which started in the past be available from Forecast view, similarly to how items which were due in the past are.