I grew up in a different state, and was very surprised that nearly everything in Texas is an actual crime (misdemeanor). So yes, you get arrested for them here, because you committed a misdemeanor. Other differences that surprised me: It's legal to drive through the intersection as long as you entered before the light turned red. Pedestrians don't automatically have the right of way. It's legal to change lanes in the middle of an intersection, even while turning.

I've had to re-learn a lot of legal things since moving here.