Even in America, where our words have more syllables and our cadence is slower than the Standard British dialect, we do not pronounce the I-A in "miniature" and "parliament" as two syllables. If we're slowing down deliberately to exaggerate or make a point, we might conceivably make four syllables out of mi-nee-a-cher. But not "parliament"--for one thing, that's a word we never use at all unless we're talking about a foreign government. The national institution is a "congress," and at the state level they're "legislatures." The names of the two chambers vary. All states have a senate, but the lower house could be a house of representatives, an assembly, a house of delegates, etc. (Nebraska is unique for having a unicameral legislature.) We refer to "parliamentary procedure" as the proper way to run a meeting, but that's always pronounced par-la-men-ta-ry. Not par-la-men-try as the Brits say it, and never par-lee-a-men-ta-ry.