How to smooth out lines of rotated smart object in photoshop?

I am building some kind of mockup for business card and while i was trying to create the looks like cards are on top of each others i used smart object to easily change look of business card on all the layers but the problem is that on rotation the photoshop really made a hard cut lines of the layers.

Here is an sample image what it looks like

I tried to change few settings that i found online under Preferences > Image Interpolation and it works kinda, different settings gives different smooths, but the smoothest gives a hard blur on the lines.

I also tried to convert it to 3d object as someone suggested and render it, this works as a good solution even when rendering is not done completely, but it really takes a lot of time to render. For my current file it would take 8 hours to render.

So is there any way to smooth out those lines a bit in some way ?