I would be thinking of weight more than fit at first. Depending on length of bike and length of cart it may fit. I know I'm within 1200 lbs of my gross when bike loaded and tanks filled. Bike is 600 lbs.
Put bike first up by door then cart in back. It will be interesting to see how you make out.
2016 Grey Wolf 26rr
2005 Honda VTX 1300
2002 F150 5.4L extended cab 6.5 bed
Ron & Shirley (Empty Nesters)