Thanks, slowcrawler. I'd rather have the hidden cross member too - so I'll go for one of those.
I remember with my 1980 CJ7, when trying to hook up my boat trailer, I'd have to swing my spare tire gate out of the way in order to seat the coupling onto the ball. But I'm thinking the guy who told me I'd have to move the tire mount on my Liberty must not own one himself. Some Liberty's come with an OEM tow package, so this must not be a big issue.
Another thing I'm a little concerned about is the grade of the mounting bolts and washers. Some members on here emphasize the importance of using grade 10.9, not 8.8. Yet, if the specs are even provided by some of the hitch descriptons, I see many of them are only 8.8.
I've already gotten a lot of useful information from this forum. Thanks for the help!