hello99 –
There are different shitos obviously, but, as Reinus, posted, gedolim of this dor have given their approval for tefillin to be worn in Eretz Yisroel with a minyan, so they can be followed.
Additionally, Rav Moshe z”l was not a resident of Eretz Yisroel and maybe he did not know the Matzav there so well. Also, things have changed since Rav Moshe was niftar, which was a long time ago, app. twenty five years already.