Besides, very few doctors, engineers, and scientists want to have anything to do with politics. They generally abhor the practice of politics and generally don't see it as a skill they need to develop. Without that skill, they'll be just as ineffective as the Congress we have today.
But it's fair to argue the Senate wasn't built for politicking, yet that's what it's devolved into. I'm a political layman, but perhaps popular vote of senators is a terrible idea as it discourages people unwilling to play hardball to get involved... these engineers, doctors, scientists, etc. It takes a special kind of thick skin to be in national office and those type of people don't seem to gravitate to science-based fields, but rather law and professional politics.
But the fact the state legislature elected the state senators reflects your point that the senate was intended to be more "serious."
The main problem as I see it is that to many people have entered their own little political bubbles (a problem on both the major parties), and that on one side it has become common to lie outrageously (election denial, "Biden Crime Family", etc...) and to baselessly vilify their opponents in unfair and repugnant ways ("groomers", "killing babies after birth", etc...).
There is a real historical parallel to this: the U.S. Civil War. In the run-up to the election of Abraham Lincoln the Southern Democrats absolutely vilified him, saying things like he was going to free the black slaves (not his plans at all at that point) and make slaves of poor white folks. Many of these species were made on the floors of the House and Senate to be picked up in the newspapers in their home districts.
When Lincoln won (largely because the Southern Democrats split their vote), this rhetoric had taken on a life of its own and the populace was so enraged that it would have taken real leadership in the south to prevent war. And so we went to war with ourselves.
And about what really? Certainly slavery was the over-arching issue, but what specifically about it? Lincoln won on a platform of status-quo. There was to be no effort at freeing slaves (there were 4 slave-owning states in the Union, and slavery happened in a number of new territories like California during the war), and the only anti-slavery thing Lincoln committed to was to no expand slavery into the new territories: something that had already been agreed to.
The U.S. Civil War started because a failed political strategy to lie to their own voters got away from the Southern Democrats.
I am truly scared that we are approaching that today. There is no-one with any integrity left in Republican leadership. Their voters have been lied to so much and so long that the idea that the leaders of the Democratic Party both are tying to "groom" children and to literally suck their blood in some ritual to live longer are nearly main-stream within Republican circles. And Republican leadership is alright with that, so long as they think it will get them elected.
The House should be filled with the Common Man, if you will, but I'm certain the authors were envisioning a parvenu bootstrapper like Ben Franklin or a Paul Revere.
But the Senate should change too--repeal the 17th amendment and bring the election of US Senators back to the state legislative bodies. It's a key element that made us a Republic and I'm failing to see how we can even refer to ourselves as such since 1913. I find it grating when people say "our democracy" because it is true now, but shouldn't be.