If it is going to be left in auto modes, the T5i is the better camera. The advantage of the 60D comes when you start to control/play with camera settings and the superior user interface/controls.
The T5i will be MARGINALLY better IQ from the in-camera jpg, but if you shoot RAW, no difference. The T5i is supposed to have better live-view focus, the 60D is better sealed and more solid construction. The T5i was touchscreen, wifi, and GPS.... none of which makes your pictures any better.
You could always wait a week or so for the expected 70D announcement. It is quite possible that the 60D price will drop a bit more then.
With either camera, the greatest impact on IQ will be the glass you hang off of it. With the $300 kit lenses you get what you pay for and no matter what you do, your pictures will be soft. Stick on a 70-200 F4 or a 17-55 F2.8 and autofocus speed will change from slow to instant and your images will transform from soft to sharp.