Hi Jock.
Are you sure the NS pilots advised that route? That won't work for you as there is no such thing as a conversion. Your path depends on what you want to do at the end. If you're a Brit the EASA course is a must as that is what you need to work in Europe. If you want to stay in the US for up to a year after your training you will have the option of completing the FAA courses but to be considered as an instructor you will need the FAA CPL, IR, CFI and CFII. Make sure you do your research as the Student Services at the Academy do pass off bum info.
If you want more info PM me.
LZ