I see why you are debating since both bikes appear to be very close in value. Don't let your emotions make a quick decision. There may be a better deal for you besides these two. Keep an open mind.

Get the right size bike. What is your bike inseam ? How tall are you ? There is a difference between the 54cm and the 56cm 5200. Cranks sizes and stem sizes vary by frame size. Raleigh typically only uses 170mm or 175mm cranks. The Raleigh 56CM probably has 175mm cranks. I think 172.5mm is more of a match for that frame. What size cranks are on the Trek 54cm ? How 'new' is the 5200 ?
Frames - IMO, the Trek carbon has the better frame. Aluminum has a harsher ride, but I have read where the carbon seat stays are nice. Weigh wise, I would guess both bikes are 17 or 18 pounds w/o pedals.
Components - Shimano Ultegra on both bikes. The Raleigh has a rear 11-23 cassette, the Trek 12-25. For general riding, I prefer the 12-25. If you had to change the Raleigh to a 12-25, it would be about $ 50. Would the dealer swap out for free ? The Raleigh has nice Mavic wheels and the integrated headset.