Hi, REGISTRATON - on my smartphone is responsive, I see labels and below input fields. Check also here: http://mattkersley.com/responsive/ What kind of phone do you use? If too small <320px, yes you have to reduce the width of the input fields in template.
It means that: 1) You have to use smaller logo/fonts etc. customization!. 2) You have too small screen for comfortable browsing, luckily on the screen in the iPhone and similar, or higher - this problem does not occur. General RWD templates are created for mobile devices that have a min. 320px width of the screen. Sorry.