These lines may, I think, be made more intelligible by a very slight correction.

they no less [than senators]

When, both your voices blended, the great'st taste

Must palate theirs.

When the taste of the great, the patricians, must palate, must please [or must try] that of the plebeians.

III.i.124 (366,3) They would not thread the gates] That is, pass them. We yet say, to thread an alley.

III.i.129 (366,4) could never be the native] [Native for natural birth. WARBURTON.] Native is here not natural birth, but natural parent, or cause of birth. But I would read motive, which, without any distortion of its meaning, suits the speaker's purpose.

III.i.151 (367,7) That love the fundamental part of state/More than you doubt the change of't] To doubt is to fear. The meaning is, You whose zeal predominates over your terrours; you who do not so much fear the danger of violent measures, as wish the good to which they are necessary, the preservation of the original constitution of our government.

III.i.158 (368,2) Mangles true judgment] Judgment is judgment in its common sense, or the faculty by which right is distinguished from wrong.

III.i.159 (368,3) that integrity which should become it] Integrity is in this place soundness, uniformity, consistency, in the same sense as Dr. Warburton often uses it, when he mentions the integrity of a metaphor. To become, is to suit, to befit.