The Declaration of Independence does give a hint:
We hold these truths to be self-evident, that all men are created equal, that they are endowed by their Creator with certain unalienable Rights, that among these are Life, Liberty and the pursuit of Happiness.--That to secure these rights, Governments are instituted among Men, deriving their just powers from the consent of the governed, --That whenever any Form of Government becomes destructive of these ends, it is the Right of the People to alter or to abolish it, and to institute new Government, laying its foundation on such principles and organizing its powers in such form, as to them shall seem most likely to effect their Safety and Happiness....But when a long train of abuses and usurpations, pursuing invariably the same Object evinces a design to reduce them under absolute Despotism, it is their right, it is their duty, to throw off such Government, and to provide new Guards for their future security.[emphasis added]
And, a warning:
Prudence, indeed, will dictate that Governments long established should not be changed for light and transient causes; and accordingly all experience hath shewn, that mankind are more disposed to suffer, while evils are sufferable, than to right themselves by abolishing the forms to which they are accustomed.
The 2nd Amendment of the Constitution, as drafted and kept in the National Archives does suggest a hint as well:
A well regulated Militia, being necessary to the security of a free State, the right of the people to keep and bear Arms, shall not be infringed. [emphasis added]
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The Constitution features a system of checks and balances which provide a check on the leaders of the country whether they are in Congress, the President or military leaders. The military leaders are checked by having to report to the President and are subject to dismissal at the President's discretion. The President is checked by having no power to pass laws and no way to stop Congress from over-riding his vetoes. He is also subject to removal from office by the Congress.The Constitution uses the Separation of Powers doctrine to prevent any one branch of the government from becoming too strong.
There is only one member of the executive branch of American government- the president. Removal of that branch violates the system of checks and balances provided by the Founding Fathers. If you're talking about assassinations, that's also illegal and would be ineffective at "removing" the executive office from government.
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impeachment can't extend any further than removal of office The U.S Constitution Article:1 Section:3
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