LC filter adequate?

I'm building a .88 kVA coil with a set of neons as a power source (one
7.5/60, one 7.5/35, one 7.5/18, with the two small ones in parallel, and
the big one in series with them). I've currently got a LC protection
circuit installed, made up of a 8.8 nF cap in parallel with the HV
input, and a 4 mF inductor in series, after the cap. The coil frequency
is 317 kHz. Will this circuit be enough, or do I need to install a
resistor somewhere?

           --Mr. Postman (Doug Brunner)