Islamic State in China

Ivan Sache published on the website of allstates-flag.com that the war lord Cheng-Chi-Tsai established an autonomous province in Xin-Jiang (1933-1942) and designed a yellow flag with a red six-pointed star. He later changed his flag to  a red field with a yellow six-pointed star.

Find The Differences

Hexagram Picture from Hisham's palace is courtesy of "markuscuel" who published it on Flickr. Picture of IDF emblem is copied from Wikipedia.
I changed the angle of the hexagram from Hisham's palace in photoshop in order to enable more convenient comparison between the two shapes.

IMHO Muslims who dislike the Star of David may look at it as an ancient Omayyad emblem. The hexagram is an inter-religious symbol. In the course of time it served Muslims, Christians, Jews and Budhists and there's no need to hate it just because it is identified currently with Israel and the Jews.

Jericho

This is a Muslim Six pointed Star from the eighth century C.E. in Hisham palace (Khirbet El-Mafjar) located 3 km north of Jericho. 

Picture is courtesy of "markuscuel" who published it on Flickr. 

This is not the only hexagram in Hisham's Palace:

a. K.A.C Creswell shows in his book (Early Muslim Architecture, Vo. I part 2, Oxford, 1969 p. 558) a window-grille reconstructed from fragments which had been printed red or brownish-gold, drawn on equilateral triangles network. There are several hexagrams and a six petaled rose in each of them.
b. In p.572 there's another photo of a grill from diwan of bath dated to 739-43 C.E.