All judges are appointed for life including the Chief Justice. You’re reading the Consti8tution incorrectly.
Wikipedia:
The United States Constitution does not explicitly establish an office of chief justice but presupposes its existence with a single reference in Article I, Section 3, Clause 6: "When the President of the United States is tried, the Chief Justice shall preside." Nothing more is said in the Constitution regarding the office.
Also, you can read the Judiciary Act of 1789 and find nothing concerning a term of office for a Chief Justice. This act and further amendments would, IMO, be challengeable under the intent of the original Constitution.
The aggressive Left seeks to reinterpret even the original wording and intent of the Constitution; our side, apparently like yourself, would rather let sleeping dogs lie and just accept defeat or just keep the peace whatever the cost.
I say challenge the status quo when necessary - like a Chief Justice who has raised legal and ethical questions - and find a staunch warrior advocate who will see the process through to the maximum degree. This must be done concerning a court that can rule 'supremely' on moral issues as well as rewriting the cases as presented before them in order to justify predetermined outcomes. The SCOTUS that we have today does not seem to be the SCOTUS that our founding fathers intended - viz the separation of powers.