Looks like it would be difficult to get the bike in and out of there, even with the seat adjusted pretty low. At the very least, I would put down an old blanket or towel to keep the car seat from getting greasy if the chain contacts it. And I would probably remove the front wheel just to make it a little easier.
When I want to take a bike in my Sonata, I put it in the trunk. I have to remove the front wheel, but with the rear seatbacks folded forward, it fits easily. I think if I removed both wheels I could fit it without folding the seatbacks.