The Maxi 2 is a much bigger beast with a longer bed and bigger swing over the bed. (520mm swing as opposed to the 360mm of the Killinger). It also has a 2hp motor compared to the Killinger's 1hp.
One big disadvantage (for me) apart from its size is that it has a fixed head and I really want a swivelling head to ease my back, as well as a compact footprint but with the capability of outboard turning for larger items. I'm not interested in long spindle turning.
I had considered the Maxi 1 but on seeing it in the flesh it was a lot bigger than I imagined.
If I had the space I would probably have gone for this one before I had even heard of the Killinger.
As it was I was undecided and I chanced upon the Killinger and it met my requirements. It is also extremely well made and finished which is something I was not so impressed with on the Maxi..
I depends on how much space you have and what you want to turn really.
If you're going to be doing a lot of large diameter turning the Maxi 1 will enable you to use the tailstock for support whereas the Killinger is more limited in this aspect and you will have to go outboard with no tailstock support. That is the Killinger's only disadvantage from my point of view, but as I don't do much large turning I can live with that.