Is it safe for a Muslim to visit Israel nowadays? I got different answers for my question every time I ask. Can somebody with real experience help?
Israel is quite a safe country. However, due to its particular geopolitical situation, there can be surprises. Travel to some regions should be avoided, such as the immediate surroundings of the Gaza Strip and the surroundings of the Lebanese border. Due to the war in Syria, there might be some trouble in the Golan Heights. If that's the case, the region will be controlled by the army and you will probably not be allowed to enter it. Have a look at your favourite travel advice page. As an example, here you have the FCO's page on Israel and the Occupied Palestinian Territories. Note that the roads are quite dangerous ... that's a real risk. The odds are much higher that you will be hurt in car crash than in a terrorist attack ...
Being a Muslim does not change this. Note that according to an official source, 17.1% of the population are Muslims. There are also 1.6% Druzes, but they are quite localized (near Haifa and in the Golan).
Just go ahead and enjoy. Israel is an interesting country!