Dear Samson,
I too pray the way most muslims pray. You are right it does create unity. Something which goes with the spirit of the Quran. But I do not do so because I know for sure that God taught this method to his prophet. I do so because simply the current method of prayer does not go against the Quran (for the most part). Actually it mostly fulfills the Quranic requirement for prayer. So I see no need to re-reinvent the wheel. I think its wise to just accept the current method of prayer as Best Practice (as brother Joseph has pointed out).
I hope this helps,
Regards,
Ahmad