I'd take a look at some mixer circuits and see how they do their thing, there are a number of good designs around and some deal entirely with single ended (unbalanced) signals. This one is going to need a bit of a redesign:
The 7805 seems to be backwards
The opamp is being run as a single supply, but the input signals have no DC biasing, even though you do have the virtual ground on the noninverting input
The biasing voltage for your mics may be ok.... but I'd probably use a 3.3v regulator. At least the Rode is spec'd down to 2.5V, and while many electrets like this can go up to 10V or so, I'd stick towards the low end if you don't know for sure
There's no gain, which if you're not plugging into a mic level input, could be an issue
It's probably worth having a cap on either side of the voltage regulator and on the noninverting input to stabilize things a bit. The divider to give you the virtual ground on the noninverting input should also probably use higher value resistors, 100k on either side would probably work just fine.
Looks like the TL081 also specs a minimum 10v input voltage between the two rails, so I'm not sure it will perform or act as advertised below that. There are a good number of lower voltage requirement audio opamps and many will be specified for single supply use too.
It's also worth noting that at least for the Rhode, there's actually two pins used for signal output. It's not a stereo mic, so this is either two components of a balanced signal, or it's just two lines fused together. If it's a balanced signal, you may get lower noise by handling it as a balanced input, and this is easy to do with a single opamp stage if you don't need variable gain in that first stage.