Yes, America is governed by laws and the law is that the voters and their electors rule upon the qualifications of candidates.
If you want to live in a country in which some special elite group gets to decide who can run for president, you should move to Iran where all candidates must be approved by their "Guardian Council." We don't have any Guardian Councils in this country. Presidents are picked by electors and electors are picked by the voters.
If you don't like our system, then amend the Constitution.
"Section 1 of Article Two of the United States Constitution sets forth the eligibility requirements for serving as president of the United States:
No person except a natural born Citizen, or a Citizen of the United States, at the time of the Adoption of this Constitution, shall be eligible to the Office of President; neither shall any Person be eligible to that Office who shall not have attained to the Age of thirty-five Years, and been fourteen Years a Resident within the United States.