It should be no problem, I've had two in a smaller vehicle.
Will it go in on its side? Benefit is not taking wheels off.
Otherwise, taking wheels off depends on the axle. A modern Longstaff has recessed bolts, like on a cotterless chainset, so you need something to remove the end caps (allen key or big screwdriver depending on type - if any fitted), then a box spanner to undo the bolt. You should then be able to tap the wheel with your hand and it should slide off. It may take a bit more than a tap. Older frames like Ken Rogers, Higgins, Bob Jackson etc have external nuts . Remove them and the wheels are probably fairly firmly in place. Yes you can make a dedicated remover, a puller of sorts, but until you get the to see them the wheels should be removable with a lever (big screwdriver) acting between the hub and the bearing housing. If you're talking Pashley etc I have no idea.
With all wheels off, the trike should now fit easily in the back of the car. I have seen one in a Peugeot 106, so a Mondeo should be very easy.