The British parliamentary system was certainly an influence on the design of the US Constitution, but remember that the US was created specifically as a revolution against the British system as well, so it would not be correct to say that the US is based on the British Parliament.
The people
There were no presidents involved in the British Colonization of what became the US. Britain had a king and a parliament. The US was created only after the colonists successfully revolted from British rule.
How did the leaders of the British parliament agree? how did they disagree?
They were highly inflluenced by the British parliament and also were conducted simliar to the way that the British parliament was conducted.
were not represented in the British Parliament
It was modeled after "British Parliament".
The US Capitol Building is the most powerful building in the world. Therefore, the United States Congress is more powerful than the British Parliament. This is also due to the fact that the United States is the most powerful country in the world.
The American colonies were British and followed British law. British law was passed by the British Parliament.
The US spelling is "capitalization" (upper case, or financial basis). The non-US (British-English) spelling is "capitalisation".
British Columbia Parliament Buildings was created in 1898.
The law making branch of British government is called Parliament.
The American colonists objected to British taxes because they were being forced to pay money to the Crown, and at the same time had no say in the British Parliament. This is where the phrase "no taxation without representation" comes from.