A really bad idea. The city of Juarez, on the other side of the Rio Grande, is one of the most violent cities in the world - more dangerous than Afghanistan.
uh, nooo El paso is very safe.
Unfortunately, no. The region between Juarez-El Paso and Brownsville-Matamoros is one of the most dangerous in Mexico right now due to the drug cartel violence.
Safe driving is not dangerous driving
As long as you don't go into Juarez, it should be safe.
Your go-to-solution to safe driving
Is New Mexico safe now? Because it's pretty much going to be the same answer.
You buckle up and you drive safe
Yes
No, it is not safe to do exercises while driving as it can distract you from focusing on the road and increase the risk of accidents.
One can find drive safe tips at the local driving school. The government also has many pamphlets for safe driving. An easily accessible source for safe driving tips would be the public library or the internet.
It really depends on what route are you going to travel. Some states in northern Mexico are feeling the brunt of the Mexican war on drugs, so several highways and roads, specially those east of El Paso/Ciudad Juarez are quite insecure. I would recommend to ask for specific origin/destination for advice.
The opposite of drive safe is careless driving.