Back in the day, Kodak offered a large variety of light-balancing filters that advertising photographers would use to improve Ektachrome's color rendition. This was important, as their deliverable was a perfect color transparency straight out of the camera. This of course required a perfect, and perfectly consistent, E-6 process.
There were several series of filters, -81A, 81B, etc., -82 series, etc. Some very subtle variations were available.
It's many years since I've used Ekatchrome (or any color transparency film) so can't offer any advice on which to try- but they are cheap on the used market and are worth a try.
I don't think you'll be able to make any E-6 film "look like Kodachrome" (a moot point now anyway) but I suspect that you can find something you like. Best of luck!