I guess the million dollar question is whether the American Original is worth an extra $1000. Neither of them is a nitro finish. I think the Am. Orig. is 9.5" fretboard radius, while the Vintera is 7.25" radius. The other consideration is that all of the Vintera line has only Pau Ferro fretboards (bound with blocks), while the Am. Orig. is maple (also bound with blocks). I'd try out a Vintera if you can, then if you like the feel of it that $1000 savings will let you put whatever pickups you like into it and still have a ton of money left over.
The 60s J Bass is a different story, IMO. With the 60s J Am. Orig. you are getting a lacquer finish and an actual rosewood fretboard, neither of which are available on a Vintera Fender.
Lastly, I wouldn't totally throw the Squier Classic Vibe 70s J bass out of contention. It's alot of bass for only $399. I wouldn't buy into the notion that more expensive equates to better, either. When I bought my first bass I chose a Mexican Fender over other basses the shop had in stock, including an American Fender and other brand basses (both cheaper and more expensive) as it just felt the most natural for me to play. I don't know where you are located, but try a few different Jazz basses out in a local shop if you can.