Thx all for your feedbacks. At least, i was not missing anything ;)
It seems that only the HTML code provided by tailwindUi need to be completed to add any dynamic beahvior, as far as i understand, REACT and VUE seems to be plug and play. They mention that you have to add alpine JS code only for HTML in their doc.
I agree that it is totaly doable to manually add the alpine code, it took me 15 minutes to manage to add the dynamic behavior on the profile dropdown component, just showing / hiding. I'm new to alpine.
But my implementation is quite stock, as stated in the doc, you have to manage extra step to take care of accessibility consideration and keyboard browsing. I'm more a back-end dev so i'd prefer some plug & play component.
Again, i do not understand why they don't provide the all things, including ALPINE code, in the HTML.
You already have alpine enable and all the alpine code is inline the HTML so it would be quite easy for them in my optinion... All examples in their docs are fully functionnal, including the dynamic part.