Abbey Gateway Bury St Edmunds Suffolk England

Picture of 14th century stone Hexagrams on Abbey Gateway Bury St Edmunds Suffolk is courtesy of "Running in Suffolk" from Flickr.

The Star of David Is Within You

Star of David Picture is coutesy of artist Shane Rickman who wrote in the caption:

The Star of David is within you... Use your will to turn a two dimensional star into the vessel of your consciousness. Use your imagination to turn paper into the Milky Way.

Ajax

Picture of one of the Hexagram of Ajax (the Amsterdam soccer team) fans is courtesy of uruandimi who published it on Flickr. He shot it in a shack frequented by youngsters at a holiday park in West-Amsterdam. Ajax fans use Jewish and Israeli symbols even though they are non Jewish. 

St. Agnes' Church, Amsterdam 1892

Picture of Hexagram on St. Agnes' Church, Amsterdam is courtesy of "towncalledfrank" who published it on Flickr.

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.