Shifter mechanism -1970 4spd Dart Swinger

Definitely a hurst, looks like it was modified to bolt on as mentioned by @rmchrgr and the bracket looks like something I’ve seen before. I believe it’s to use a hurst bolt on handle with a factory 4 speed console.

That might be true but it's not specifically for an A body. The factory A body console shifter was the pretzel looking deal with a round handle, there was no square handle A body console shifter available. Again, the only square handle A body shifter was the one-piece one that is welded on the bottom and presses into the receiver. That one could not be made to fit in a console either because of the fact its pressed in.

B body square handle console Comp + shifter handles (typically #4084) are bolt in (as opposed to press in) and have a 4" offset. There's no way the 4084 handle would work in an A body console though.

The OPs' shifter is a shade-tree job for sure. It's reasonably done but if you're after 'correct' (console or not) just get the right one form Brewer's. Unless they have a restored original square handle/press-in shifter available in inventory, I believe they will sell you a new Comp. + mechanism with a replacement handle (#6836). The handle is essentially the same shape and size as OE press in one but it bolts in.

That said, if the shifter itself works OK and you don't want to mess with it, you could just get the #6836 handle to replace the mongrel one in the pics and call it good. Brewer's has the correct boot and floor-shift bezels too if needed.