The republicans don't run the House, so they have no say in how the House conducts business and can't stop it. The only way to have stopped it, is if the Republicans had won the House in 2018.
A ton of people predicted that if the dems won the House in 2018, Trump would be impeached. And so it may happen.
The Supreme Court is the interpreter of the Constitution. This “impeachement” farce in the House of Representatives violates the Constitution.