The nquestion is not clear, To ionize an atom you need a collision (with other atoms, electrons, photons). Therefore it depends on the ambient your atom is inserted.
If you accelerate an atom above the IE and make it to collide with a gas at rest, you will have a probability of ionization depending on the cross section, the temperature of the target gas and so on. But if you accelerate your atom, and you should also explain how you accelerate it, in vacuum, without collisions you will still have an atom, there is no way to ionize it.
Moreover remember that the kinetic energy is a relative concept, i.e. it depends on the reference system. You could have your atom at rest and accelerate your reference system obtaining the same result.
Generally speaking, while you are thinking about accelerating a particle like an atom , you have to think about the relativistic effect that increases the mass of that particle and at then you have what is called relativistic mass. This means that the mass of the atom and its constitutes increase altogether and such relativistic effect conserve the stability of the atom. Accordingly, the acceleration process is not enough to ionize an atom and instead the atom should collide with other particles or being impinged by ionizing radiation.
To refresh your memory Gianpiero, photons in the visible spectrum exist on the threshold of the ionization potential. Photons interacting with electrons whether relativistic or otherwise may also 'bounce' the electrons out of atomic orbits. Under relativistic conditions, energy transition state availabilities decrease. As the available states for transition decrease, the probability increases for photon-electron interactions that result in the electron being stripped away from the host atom (i.e. ionizing the atom).