It is perfectly fine to drive to Chevron. My wife and I drive there very often,sometimes each of us alone and without any special protection on the windows. No difference day or night.
I understand those who are afraid, but they must realize that it is an illogical fear. Many Israelis visit Cambodia and Vietnam, and I have a hard time with that. I remember the war there, as does anyone of my advanced age. But it is an illogical fear and I do not defend it with any conviction.
If I may add a little bit of bitachon, the incredible feeling of visiting the place where it all began, and getting to know the special people who live there, the conclusion should be, “Go, experience, fall in love with your heritage. Don’t miss it.”