Would something like this be able to work within the atmosphere?
(For perspective on just how much this would need to scale up, the CAT thruster developes 2mN thrust [0.00045 lbf] on a spacecraft that weighs 2.5kg [5lbs] without fuel.)
In any case, if you're flying in atmosphere, you can probably extract your propellant directly (or just use propellers). The whole point of ion engines is that they're fantastically efficient. This is important when you need to carry all of your reaction mass along with you (and your mass ratio scales up exponentially as a function of delta-V), but not important when you're flying through atmosphere (and surrounded by reaction mass).
On earth you're likely not even going to be able to overcome friction and start moving.