Did the magma carta influence the American colonists' ideas about government?

Yes, Magna Carta did influence the American Colonists ideas.

Explanation:

Many of the principles mentioned in the US constitution can be traced to the Magna Carata. Some of the ideas taken from Magna Carta are the theory of representative government, Judicial Review and the idea of supreme law. For the eighteenth century Americans Magna Carta signified the assertion of the rights against an oppressive ruler, it was due to the influence of Magna Carta that the bill of rights was included in all the state constitutions. The state Constitution and US Bill of rights included such guarantees which were similar to what Magna Carta guaranteed. E. g right to trial and trial by jury, right to liberty and right to property.