[vorg]

Homophones aren't a problem. Just use a silent radical in front of kana sequences. Swapping 2000 kanji for about 200 radicals is a good enough "90% solution". Some possible examples from the first page of results from you link:

    主 = 主シュウ
    集 = 木シュウ
    终 = 幺シュウ
    州 = 川シュウ
    衆 = 血シュウ
    就 = 京シュウ
    秋 = 禾シュウ
    收 = 又シュウ
    週 = 辶シュウ
    周 = 周シュウ
    宗 = 宗シュウ
    修 = 彡シュウ
    習 = 白シュウ
    執 = 幸シュウ
    秀 = 乃シュウ
    渋 = 氵シュウ
    拾 = 扌シュウ
    袭 = 衣シュウ
    捜 = 扌シュウ
    祝 = 礻シュウ

There'll be some duplicates, especially looking at all 213 found, but it solves most of the problem of homophones.