Without exact Year and Model of the Wrangler and the Liberty, can't say for SURE. But based on how specific Base Plates seem to be, and again without the details, I'd rate the odds as 99% NO.
Send the details on the vehicles, along with the Tow Bar you have or are considering, and we can take a look.
All the manufacturers provide detailed base plate installation instructions, and that includes a picture of how it looks installed. That can help you decide which one you want. Instructions also include labor estimates.