Not like a vibrate from the brakes, but more or less you can see it "shake" a little left to right when driving 50 MPH. Does this have anything to do with the alignment?

 

Tire balance. Bring it in to have the tires balanced/checked. Any tire place can do it

 

I have the same issue around 50 in my new car. I am planning to get the wheels aligned to see if it corrects it as well.

 

yeah, I get that "harlem shake" with mine as well. I'm about to do
the alignment thing and also change my tires (its about time anyway)

 

The problem could be the frame screws for your engine.... When you need a screw or a nut... some Sh*&t like that needs to be tightened or changed for your Engine to be Stay Put in the car, ur staring shakes... So make sure you check that first.

 

...huh? I take it you mean engine mounts? Never head of "frame scews". Just wondering, seriously.