The bolded parts are everything that is completely wrong. Number one you can not be arrested for being rude with an officer. Any American can say whatever the hell we want in any way that we want (assuming it's not a threat) to an officer and that is protected under free speech which was recently held up by the SCOTUS.
So you think that she was arrested and handcuffed because she changed lanes without signaling? The officer didn't appear to have any intention of arresting her until she became rude.
Free speech is all well and good. You're right that it has been upheld that in certain circumstances, you can absolutely be rude to a cop.
However, some jurisdictions have laws about disorderly conduct and public nuisances and so on, and it is at an officer's discretion. Especially if there is threatening language used, which doesn't so much apply in this case, but often does apply to situations. Will the arrest be upheld? Not necessarily always,but you can absolutely be arrested for being rude to an officer in certain areas.
Number 2 he had no right to pull her over and his department has already come out and said he should not have pulled her over and he had no right to arrest her.
It's a gray area. He was making a traffic stop for a traffic violation.
It's entirely possible that his Department has done that because this has become a public relations nightmare. He was, in fact, apparently pulling her over for a lawful reason. She changed lanes without signaling, which is apparently against the law in that part of Texas. At least this is what the media has reported.
Number 3 you can not be arrested for refusing to comply with an officer.
I note that you forgot to bold the part where I said "depending on the circumstances".
You absolutely can be arrested for refusing to comply with an officer, depending on the circumstances. Especially if the officer is trying to arrest you and you resist, which he verbally tells her to stop doing in the transcript of the stop.
Asking to put out a cig or to get out of the vehicle is not a lawful order.
That depends on why he gave it. If he gave it because he was not comfortable dealing with her while inside the vehicle, then there's a gray area there.
And I believe an officer CAN legally ask you to step out of your car for any reason.
According to the case "Pennsylvania VS Mimms", an officer, in the course of a traffic stop, is allowed to request a citizen to exit the vehicle.
You really have no clue as to what the hell you're talking about
You are welcome to your opinion. I have a degree in what I am talking about, and I feel like I've discussed it fairly intelligently thus far.
And there's no reason to be so rude about this conversation. I'm not sure why you feel there's a black and white answer to every one of these situations. The circumstances matter.