Several things.
First you’ll need Spidertrax spacers to adapt the bolt pattern of the JK rims to fit your Liberty.
For a 32” tire that is as wide as yours, plus spacers, you’re looking at needing a minimum 4” lift, if not more, to prevent terrible rubbing issues. You’ll have to pound over the punch welds also.
Last, you’ll need to regear your differentials to 4.10’s to be able to retain any power and gas mileage.
You could do a lot better $$$-wise with 31’s on stock rims, a quality 2” lift kit, and no regear required (although it would help). You could sell the Wrangler 32’s and get part of the way there. Sorry, this is probably not what you wanted to hear.
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2008 Liberty Sport 4x4 Automatic
Jeepin By Al 4" Lift Kit
BFG KO2’s 245/75R16
Full MOPAR skid plates
Rock Lizard Skink Super Sliders
AtTheHelm Front Recovery System & Roof RackM116A3 Trailer build thread: viewtopic.php?f=72&t=77997