Well Michael you could ask the same question of many in the UK. Do you feel more Muslim than British, do you feel more Jewish than British, do you feel more Chinese than British etc. The answer in my case is that I am a law abiding citizen of the UK. I am not elated at the use of British passports but at the same time I believe that all intelligence agencies adopt this practice. I also believe that Israel stands and fights with Britain and the US in the common goal of fighting against terror and that this operation was not just for Israel but the that cause in general. Therefore I can accept this situation. I hope that helps answer your question.
Three Palestinian teens killed by Israeli army fire during protests near Gaza border (Haaretz)
from the article: Germany, France also request Israeli answers on Dubai fake passports