I guess the mixing’s OK. You want low output impedance so the pots had better be 1k. And the output impedance will vary as you change the mix, which isn’t ideal, but as long as you’re going into high impedance inputs I think it’ll be all right. But really, adding a TL071 for an active mixer stage would be easy and not take up much PCB room, and would be the nicer way to do it. If you put a gain pot in the feedback of such a mixing stage, you could use the full range of your mixing pots and use the gain pot to stay out of clipping territory — otherwise, if you’re mixing four 10 Vpp signals, you have to keep all four mixing pots set low if you want to avoid clipping.
I’d consider leaving out the 330R resistors and 47 pF caps. They’re to stabilize the op amp output if it’s driving a capacitive load, but since you’re going straight into the mixing pots I don’t think that’s an issue.
There’s an L7905 which is a -5 V regulator, but that’s for supplying power and here you just need a voltage reference, which gives more precision but less current. You can use a shunt reference like an LM4040 to make either a positive or a negative reference:
(from https://www.ti.com/lit/eb/slyc147a/slyc147a.pdf?ts=1638721018556)
In the Electric Druid circuit they’re using -15 V and 300k input resistors as a “quick and dirty” way. (Your diagram doesn’t have the connection to the negative rail.) With a -5 V reference those resistors would be 100k. 50k on the -1RMP stage, I guess. [See below.]
Your 2N3904 has diode protection. You don’t want a large negative voltage on the base but the diode shown is there to prevent that. You don’t need to worry about positive voltage, it’ll handle +12 V with no problem.
Your collector’s connected (via a resistor) to ground, that won’t work.
Added: With passive mixing, you get the average of the inputs, so if you’re using only one output and have the other 3 turned down to 0, you get only 1/4 of the full amplitude. With an active mixer you get the sum of the inputs, so if you’re using only one output, you get the full amplitude.
Added more: Oh, and for 12 V, you need to adjust all the input resistors for the op amps. As it is it takes a 0 to 15 V signal and a -15 V bias and turns it into -5 to 5 V, but for 12 V both resistances need to come down by a factor of 12/15, I guess.