Sway/Drift fix?

I'm a good ways from finishing the suspension on my car but I'm anxious to fix the one problem I'm dealing with since the addition of the wheels and tires. I've noticed while driving the car likes to drift or sway from one side of the road to the other at the higher speeds. Is it the additional weight of the wheels causing me to notice this? What would a good fix be for it? Aftermarket swaybar maybe? Also I know of maximum motorsports subframe connectors being top quality should I go with full length on those and have them welded in or bolted? And I need some opinions for the strut tower brace bar are they worth the money or do much at all?
 
a wide tire will follow the trails (tire gorrves) in the road more than say a stock size tire

assuming you are changing the struts or atleast removing them for new springs you may want an alignment.

a bad tire can cause a pull

alignments are cheap so I would say when it's done have a good shop do an alignment.
 
Could be lots of things. On the one I just got, I believe it is the upper control arm bushings or the rear end housing bushings. But it feels like the whole rear is floating.