Air Intake

Causes of transmitted vibrations like what you descried are usually very difficult to identify. Since it looks like you already know the cause, there has to be some way of repositioning parts to isolate them from each other. I have a friend who specializes in rebuilding smashed one and two-year-old Dodge trucks. I've helped him on a few, including my own rebuilder, and I've watched how he measures things and gets them back to where they're supposed to be. If your car's body panels fit properly and the gaps are uniform, it's likely this is simply a matter of locating a bent and overlooked mounting bracket, or shifting something that is adjustable.

As for that cold-air intake system, liquid gasoline does not burn. It goes out the tail pipe, wasted. The goal of the intake system is to give the fuel time to turn into a vapor that will burn. Adding heat, especially in cold winter months, helps that occur for better engine performance. Cold air intakes defeat that.

The idea is cold air is more dense, so you can add more fuel to it to get more power. The rest of us do that by pressing further on the accelerator pedal. Regardless how you do it, you have to maintain a 14.7 / 1 mixture for most power and lowest emissions.