It's easy to do so and what you need is a .mts converter program to help you convert your sony cx190 1080p mts videos to H.264 MP4/MOV/M4V for further playback on iPad.

From Sony's website:http://store.sony.com/webapp/wcs/stores/servlet/ProductDisplay?catalogId=10551&storeId=10151&langId=-1&productId=8198552921666415438#specifications

we can learn that sony cx160 records hd video with 1920x1080 video resolution and 60i frame rate. And iPad supports play MP4/MOV/M4V videos with 1080p, 720p, 640*480 video resolution.

So I suggest you convert your sony cx190 videos to H.264 MP4 with 1920*1080 video resolution, 30p video framerate and stereo audio.

Maybe you could use this program: Brorsoft MTS/M2TS  Converter.  It's able to convert 1080p/1080i/720p AVCHD/AVCHD  Lite/MTS/M2TS videos to AVI/MP4/MOV/M4V/MKV, etc. for further playback  on iPad, Galaxy Tab, Transformer Prime, PS Vita, PS3 and so on.

The best important factor appropriates me to choose it is its large variety of video formats. I feel it is very dependable and does exactly what I need it to do. Overall I am very happy with it and feel it was a good investment of my money. So I thinks it's worth to try and you can have a free trial at first.

For more information please refer to: http://brorsoft.com/mts-converter/index.html

Besides, if you are a mac user, you could use its mac version: http://brorsoft.com/mts-converter-mac/index.html

Hope above information could be useful to you.

Best Regards,
brorm2tsmac