I've bought this 26er Lefty fork.

I want to convert it to a 29er and fit it to a frame with a 125mm long 1.125" head tube.
There doesn't seem to be all that much information on Lefties on the web, I'm not even sure what model it is, other than being described as 2002. The upper is aluminium and the lower brake mount and axle section looks like titanium.
First of all, I need to reduce the travel to convert it to a 29er.
I take it I need the Conversion kit here.
Do I need the Air volume reduction kit as well as I'm reducing the travel ?
Secondly, and this is where it gets confusing, I need a 1.125" steerer tube.
According to Project 321, I need this one, because I've got clamp on crowns.
Is that right ?
This one from Dr Cannondale is a lot cheaper, but doesn't appear to have the keyways in the collars to match the keys in the crowns.
Would it work ?

