We don’t want anybody doing this because we don’t know who will be in the majority in four or eight or twelve years. Leave the checks and balances in place. They work and they are one of the few remaining reasons we remain a republic.
It was supposed to be harder to get bills through the senate. The Senate was intended to be a quorum of representatives of the several States, not replicas of House members, a moderating influence on the popular passions of a given time. Democrats of course would love to just eliminate the Senate altogether, as an anachronistic remnant of a dead federalism.
This fight has been going on since the first, btw, when the House demanded to be able to review and vote on treaties. Washington himself had to stand in the way and defend the constitution, almost from the very outset.