don't know how much clearance you would need for a rabbit. Have you put in some measurements to see how high the top of the table would be? This may work better as an end table than as a coffee table, if you find the height won't work.
the lower level would only be slightly higher then your average coffee table, its doesnt need to much clearence, it will already be quite a bit higher then a petstore rabbit cage lol. I cant imagine it working at an end table, its too long, its designed as a coffee table to provide maximum size for the rabbit