I think you could get the result with compression...or you could just boost the vox! I kind of like the unhomoginized voice.
There's a larger problem, though. The bass is clipping the track badly, roughly around 60/125 Hz. Distortion. And that's another thing stealing thunder from the vox.
Real close. Nice idea and tune. I like it.....except for the 'fuzz' factor on the bass.
In fact, I think this tune would go over the top with an upright string bass! A quick decay...the strings, ctr, are carrying the sustain load...and that, alone, would give your vox a lot of clarity, right there. And upright would be sweet and retro-kool.... Try it...kill the bass audio...go back to the midi track, and sample upright bass instead.