I edit 1080p at 60fps all the time. No problem. However, my PC is reasonably up-to-date (about a year old) and I have a CUDA capable graphics card.
If you want to post about 30 seconds of video shot in good light with distinct edges on something, with some movement, I would be happy to try it out on my system.
There is no processing-power crippling in the trial version vs the full version.
If you can't edit it smoothly with the Trial you'll need a more powerful PC.
If you have time but not money you can transcode all your 1080p60 footage (which I assume is AVC and thus hard to decode) to an easier editing format like Avid's (free) "DNxHD" or the open source codec "Ut Codec". That should be playable/editable on a new-ish pc.
Download Grass Valleys Edius and see how that compares