Final answer:
The House of Representatives is responsible for originating tax bills, though the Senate may propose amendments. Once approved by both chambers, the bill goes to the President for signature or veto. The Supreme Court does not draft bills, but may interpret them.
Step-by-step explanation:
The entity in charge of drafting bills, especially tax bills, in the U.S. legislative process is the House of Representatives. According to Article I, Section 7 of the U.S. Constitution, 'All Bills for raising Revenue shall originate in the House of Representatives; but the Senate may propose or concurs with Amendments as on other Bills.' This means that while the Senate can propose changes and must ultimately approve the bills, only the House of Representatives has the authority to introduce bills that involve taxation.
Presidential and Supreme Court roles are different in the legislative process. Once a bill is approved by both chambers of Congress, it is sent to the President, who can sign it into law or veto it. The Supreme Court does not have a role in drafting legislation, but instead interprets the laws and may rule on their constitutionality.