Not at all. I’m 6’00”, the same height as you, and I found that the Renegade has both plenty of leg room and head room when I sit in the front and rear seats.
I currently own a two seat foreign sports car. On forums for my particular car, its guys like 6’4” and taller considering a purchase of this car that post this same question. Usually someone who’s 6’6” replies to the post and says head and leg room are adequate. Some even ask if rear seats can be installed in the two seater. The answer is no. They’re told to buy a longer four seat car.
If cargo space is lacking for you, then consider a longer vehicle. The Renegade is not for everyone.