LOL I love how everyone just recommends whatever they've got. If I were in the market, I'd much prefer to hear from people that have owned, or spent significant time on multiple machines and could give an example in the OPs price range of what they though was the best option.
I've used every major 2x72 on the market, with the exception of a couple newest ones, and in the OPs price range, I'd recommend the Wilmont LB1000 as the best built, best bang for buck. You can get it with a 3ph motor and KBAC 27D VFD for full variable speed at that price or very close to it.
You would want to buy a larger contact wheel later perhaps, and eventually get the compound tool rest, but the great thing is it's built from steel plate, is very rigid (all the Wilmont stuff is overbuilt), has two inline 1.5" tooling arm slots, so you can add or remove tooling one piece at a time instead of having to bolt a tool rest or etc to the side of a flat platen assembly or tooling arm from tool rest to contact wheel, or etc.
I personally wouldn't buy any grinder that doesn't use either 1.5" or 1.25" tooling arms, as there are a handful of grinders that use these two tooling setups. You can mix and match those grinders easily, and their tooling, if you find a good deal on one, which compatibility issues, or being stuck using this contact wheel on this grinder, and not the other, etc.
I personally don't like the tooling style or the aluminum body of that AMK grinder, although I admit I've never used it. The rotating platen/contact wheel assembly is clever however. Although personally I run 4 grinders in my shop, and I wouldn't want any primary tooling stuck on the back side of something I'm using on one grinder already.
So yeah, you'd get an extra contact wheel ($200) with that grinder, but you'd have full variable speed with a top end VFD on a Wilmont LB for the same or very close to that price, which would cost you $600 or so to upgrade the AMK.
Although I've got 2 TAG-101's and two LB's in my shop at the moment, these days I'm hard pressed to recommend any grinder over a variable speed LB-1000, unless you have limited space or know you need the 3rd tooling slot, when you can get two LB-1000's for the price of one of any of the flagship grinders out there. Two pretty much always trumps 1, when you're not really sacrificing anything, except horizontal mode in most cases. Although, it's easy to mount one sideways, and IMO, if you need horizontal with any frequency, you need a dedicated horizontal. Of which, I simply made a "mounting bracket" out of piece of 3" angle for one of my LB1000's, and mounted it to a cast iron machine stand I had floating around.
