Keep it simple. The red poppy also represents the notion of peace. It represents sacrifice, war, freedom, and peace. Like Legion reps have said, it's also a trademark issue. Based on that alone, this is a non-issue and the white poppy should be banished.
Keeping it simple, the poppy does not symbolize all those things you mentioned.
"THE FLOWER OF REMEMBRANCE
An American teacher, Moina Michael, while working at the YMCA Overseas War Secretaries’ headquarters in New York City in November 1918, read John McCrae’s poem “In Flanders Fields”. She immediately made “a personal pledge to keep the faith and vowed always to wear a red poppy of Flanders Fields as a sign of remembrance and as an emblem for keeping the faith with all who died".
Two years later, during a 1920 visit to the United States, a French woman, Madame Guerin, learned of the custom. On her return to France, she decided to use handmade Poppies to raise money for the destitute children in war-torn areas of the country. Following the example of Madame Guerin, the Great War Veterans’ Association in Canada (the predecessor of The Royal Canadian Legion) officially adopted the Poppy as its Flower of Remembrance on 5 July 1921."
http://www.legion.ca/Poppy/campaign_e.cfm
And the only purpose for Remembrance Day is to honour those who fought and died.
It is not a day to use their sacrifice to further a political agenda.