“modern Hebrew…particularly with it’s over-emphasis on the latter part of the word[mil’ra]”
That is the way Hebrew – classical or modern – is supposed to be pronounced. If you need help with that, look at how the taamim are in the Torah. It’s not a zionist thing.
One of my Rabbaiim (an Ashkenazi) taught that mispronouncing a word in K’riat Sh’ma could be meakev. The example he gave was saying v’aHAVta is past tense (wrong meaning), but v’ahavTA is future tense/command form.