Forum member Ingeniero No1 (Alex) came up with a great way to power Atlas track without soldering. It is described here Hidden Pass Junction RR in his build thread (about half way down on page 2 of the thread). He even gives us the drill bit size, wire size and screws he used, he's done all the head scratching for us and was kind enough to share the information. All you will need to do is figure out how to hide the wires. One way would be to go under the table and come back up. I believe you could easily fix your problems using Alex's methods.
I stole the idea and used Alex's method to connect all power to my layout, it is very easy and works very well. It is also very easy to re-arrange things if you make changes or add on. I was glad I found Alex's build thread before making my layout more permanent.
I have some old switches I purchased used that have the small wire jumpers. As others have stated, the newer ones use larger wire. I do not have any of the newest Atlas switches yet, but they are supposed to have even more improvements than the previous ones.