We are talking about seeing things in focus and things out of focus. Maybe that is the confusion here. If you focus on one car sure you see what is around you but it isn't in focus.
True statement. Anybody that thinks they are able to focus on all subjects in the field of view, with the human eye, needs to do a little reading on how the human eye and vision works.
To the OP, if you like everything in your photo to be in focus, then by all means, go for it. Art is totally subjective, and as long as you are shooting only for yourself, you can do it any way you like. My suggestion would be that one of the first things you will need is a good tripod, so that you can hold your rig still, while you use slow shutter speeds and low ISO.
Using a tripod is good too, because it effectively forces you to consider the composition of your shots a little longer.
As for the idea of OOF background, and subject isolation, we could likely argue that the ultimate in subject isolation is for instance, when we shoot a person on a totally solid BG ( white, black, or any color for that matter ). There are some really nice photos done this way, I suspect you will agree. Then as we step into the idea of shooting a subject with normal things in the BG, we can then play with this idea of isolation ( shallow DOF ) or not ( deep DOF ).
If you are, by chance fairly new to all this, I would suggest you go out and have a good time practicing on lots of different subjects, shot in many different ways. Then look, and I mean really look at your results, and decide what you like best. It's also very useful to ask other folks to look and ask them for honest open critique. Eventually, you may in fact develop your own preferred style.
It's all fun, challenging, and honestly, it's an ongoing learning process even for those who are expert and have been shooting for a long time.
Edit: I'm one of those who often shoots for a totally blurred out BG. Some may like it, others not. Here's a sample of one I liked how it came out.
please log in to view hosted photos in full size.