You are on the right track, continue.
I have seen many pilots with a lot of different training histories and the ones with the least long-term trouble are the one with FAA track. There are two things in an FAA track, one is the general reputation of planes being an ordinary transport vehicle equal to all others, second and maybe a result of it the big size of the market. In almost no other country a small plane is thought as equal to a car as there. Together with a society, which is (was, as it is fading a bit under Obama legislation) based on the individual with rules supporting people, not people following rules as in Europe or increasingly Africa, this gives a very pragmatic training for the FAA track. As the FAA is so big, almost any other country or license system did find a way to validate or convert a FAA license into their spheres. So, yes, stay on FAA track and if you need something else, just convert, but stay basic FAA.