What do I need to do to put a LH J-Bass neck on a RH P-Bass body?

I'm putting a bass together.

I really need the help, if it works, it's gonna be a combo of all of these:

Yeah. That good. Anyway, I hear there's a little difference... but I cant really figure out what.

Is it feasible??
does the neck fit in the hole where it is supposed to go? is it the right scale?
if so it should work fine, looking at it in a logical perspective.
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Yeah I dunno, I haven't actually bought that peice of the puzzle yet...

I want to, but then again I don't wanna buy one and realize 'oh dear...'

I'm still reasearching it but I thought I'd ask here.