I changed the tank water about 3 times already and it always reverts back to a foggy white, so my assumption is that it's a perpetual bacteria bloom caused through water changes.
not sure you said this, but are you adding ammonia?
or is the cloudy water simply coming from the water?
what you may have is simply some very dirt Substrate.
And yes, plants may be added at any time, BUT if you are adding plants do not add ammonia, add fish instead assuming you have added enough stemmed or floating plants, there will not be a cycle in the traditional sense, Plants consume Nitrogen NH3 NO2, NO3 etc so there will be no "spike in NH3 and NH4, however as the Bio Load increases the bacterial colony will increase in-spite of the presence of plants, just slower as the plants are consuming N as nutrients.
so a reasonable fish load can be immediately applied, however in your case i would first ID the source of the cloudiness before adding fish.
With plants in and no fish you will need to feed the plants somehow.
Please nte the above is an over simplified process for the "Silent Cycle" method of cycling a tank.
http://www.rexgrigg.com/cycle.htm
The info above was originally taken from the Krib
hope this all helps a tad