Actually, thats highly risky. In the current hysteria over immigration many police departments are informally cracking down on undocumented immigrants. If you get pulled over and provide a Mexican driver's license, then, considering that Texas is a border state, the police officer may question you about your immigration status. While there is no law that says they can do this, no law explicitly prohibits them from doing so. Additionally, state troopers in Texas are notorious hard asses so getting pulled over by a statie involves that much more risk.

Of course, you can refuse to answer questions about your immigration status but you have to provide your name. Refusing to provide name and identification constitutes reasonable cause for detention.

Your best bet is to not get pulled over. The safest course is not driving at all but if you have to drive, follow all local laws and stay about 5-8 miles under the speed limit. And also make sure your car is legally operable on the road, i.e. have your lights checked, license plates current etc.