Hi Ron,
The short answer is that I don't know for sure.  
 
 
There are certainly enough similarities between your guitar and the Teisco catalog guitar to say it is a Teisco. However, the differences are pretty significant in my mind.
To start, notice the Teisco bass has the side bar inlays while your bass has dot inlays. Here is an image of the same bass in a 1964 Teisco catalog and it still has the side bar inlays:
(I just realized the link won't take you directly to the literature page. Just click Literature in the left side menu)
So, this suggests the Teisco Bass didn't change much from 1961-64. I'm pretty sure this style of bass was discontinued in 1965 when Teisco introduced their "New Style" line up. At the very least, it appears this old EB style was no longer being imported into the US by 1965.
In my mind this leaves us with 2 "most plausible" options. Either your bass is a Teisco built prior to 61 before they changed to the side bar inlays or another company (like Kawai) copied the Teisco style and used dot inlays. I don't have the literature I need to choose between these 2 options.
Another interesting feature of your bass is that the tuning keys more accurately mimic a Fender key than the keys on the Teisco. I'm not sure what this means, but it is another significant difference between the 2 basses.
I guess the final aspect of your bass that interests me is it's similarity to a Telecaster Bass. The headstock is obviously Telecaster style and the body shape is ambigious enough that you could claim the Japanese were mimicing either a Precision or Telecaster body shape. The part that I find unusual is that I don't think Fender introduced the Telecaster bass until about 1967. So, this Teisco "Telecaster" bass predates the introduction of Fender's Telecaster Bass. Hmmm. Who is copying who here?
Thanks for the post, it is definately a brain teaser. Hopefully, Big Beat will stop by and let us know why he thinks it is Kawai. He could very well be correct, but I don't know enough at this point to choose between the two options.
Any other visitors with opinions on the origin of this bass please weigh in.