You can try to convert your files to AIC codec since imovie can not recogniaze a mts file unless you import from your camera and it should be recorded at 24/25 fps. I'm using Brorsoft MTS/M2TS Covnerter on my mac. It is fantastic and easy to use. Good choice. Here is the link:http://www.brorsoft.com/mts-converter-mac/index.html.
You can give the software a try and I hope it can help you solve your problem.