How to travel safe in Mexico?  

Never been in Mexico all my life. I wish I could go there. I'm not really sure about the drug thingy and the chaos and all that. Just enjoy the moment and watching the camera roll, is just funny.Don't worry they are also a lot of enjoying mexicans who do that.

I have been in Mexico several times. I was also warned about kidnappings and my niece (where I was staying) wanted me to hire cabs to go everywhere. I thought about it and about the meney I had. No way that I could have as much fun as I wanted if I had to use most of my money in taxis.
Most of the mexicans travel by metro and other public transportation. Why would I be THE one to be kidnapped? I was no movie star, did not look very wealthy. I like to travel but always follow certain rules that are common sense. No jewelry, no lots of cash (that´s what credit cards are for), comfortable clothes ( old jeans and shoes)except if I have to go to a special place that needs formal clothes (but then, that doesn´t happen every day). I went home at the time the rest of the mexicans are going home and preferred to drink at home except if I had company.
Nothing happened. Nothing, except that I had the time of my life every time I visited Mexico. Mexican are very helpful if you know how to ask things nicely.
Ask mexicans (if you know Spanish) or a tourist information center if you don´t) how safe is it to travel at night by bus. I used buses to travel from Mexico to Puebla and back. I went there with a friend and it was already dark when we reached Mexico City. We had bought things in Puebla so we were loaded with bags. No problem.
I want to say that you are wrong if you think that a "white guy" would have problems. The main reason is that a lot of mexicans are white. Probably your language would show more that you are a visitor. Whoever told you otherwise does not know the country very well. I think you might have problems (and so would many mexicans) if you went to places wholly inhabitated by indians. But tourists usually stay away from that.
Ciudad de Mexico is the biggest city in the world. Bigger than New York, Paris or Rome. And there you can stay weeks and the city will unfold every day in a different way. You can see cultural things from every period, big malls, wonderful churches, you name it. If you have the money, you can eat as well as in any other mayor city in the world. But you can also buy beautiful souvenirs for little money. It´s all there for the asking. Be nice, though, as you would want tourists to behave towards you in your country. Mexicans are proud people as they should be.
Take care and enjoy.

I have been to Mexico twice, on a day trip from San Diego and on a long trip to Cancun plus south to Talum. I loved it in sunny Mexico and I found the local people friendly. I would advise you have a money belt and are careful with your valuables. I would advise day bus journeys unless you are sure of the safety of a particular night journey. You might not have any dealing with the police. I suggest you take a Spanish phrase book. If you read a detailed travel guide book you will be able to stay in the safer area in Mexico City. I am sure you will have an excellent time in lovely Mexico.