No, we should not abolish the filibuster
Republicans need to think beyond the next 67 seconds.
One of the top agenda items for President Trump is the "SAVE Act," fueled by his bitterness over losing the 2020 election. Because Democrats in the Senate oppose it, and Republicans do not have 60 votes to overcome the filibuster, President Trump is demanding Republicans abolish the filibuster.
But this is a terrible idea. The filibuster played an important role in delaying or forcing compromises on bad legislation, and was important in stopping a "voting rights" act that would have expanded federal power and decreased election integrity during the Biden Administration. The very same filibuster that is preventing legislation that President Trump would consider an improvement also prevented legislation that would have made election integrity worse. Republicans should not hand the Democrats a tool they will use to force their agenda through the U.S. Senate, especially if we have a Democratic President in 2029. Republicans need to think beyond the next 67 seconds.
Naturally, because Republicans are holding the exact same position they held while blocking legislation supported by President Biden, critics of those Republicans take an "all or nothing" stance, pretending the Republicans are planning to give the "nuclear option" to the Democrats. This is absurd, cult-like behavior. The world does not revolve around President Trump, and Republicans who have been Republicans for a long time should not be expected to give up long-held positions and put themselves as a serious disadvantage the next time they are in the minority just because President Trump wants something.
No it is not "unconstitutional" for the United States Senate to set its own rules for closing debate and moving legislation to the full Senate for a vote. You are going to need to show me in the text of the Constitution where the Senate is not allowed to set its own rules for closing debate. The fact that the filibuster is "anti-democratic," like the fact that every state has equal representation in the Senate, is exactly the point. This is a wise rule meant to slow things down - and it has been used effectively before, such as the aforementioned blocking of "voting rights" legislation pushed by President Biden.
Does this mean that no reforms can be implemented? No. Republicans could force a talking filibuster, where people actually have to hold the floor of the Senate and grind business to a halt. Then the filibuster would be reserved for things that the minority party finds most important, preserving tradition and slowing down the process while also allowing more things do get done. What Republicans should not do is bow to the demands of populist demagogues who cannot be bothered to think of the future implications of what we do right now.