The are progressive groups, but the best they get is a compromised Democratic Party beholden to corporations if they want to continue being elected. IMO.
Conservative policy theory aims to limit the over reach of the federal government by offloading the governing to smaller legislative bodies with a stronger feel for what needs to be done in a given location.
A good example would be your county managing taxes, laws, and infrastructure within its borders. Your state codifying laws that are embodied in the majority of the counties for the ease of travel between them, and the country doing the same based on states.
The vast majority of regulation would be left in the hands of the people and the community they participate in with the state and federal governments only stepping in for judicial reasons when a lower body can't come to agreement, if an outside threat moves upon the country as a whole, or if a crime crosses state borders.
While I quite like this model, it doesn't jive with our current view of politics.
Cut spending without cutting taxes; a balanced budget over the long term.
Protect the courts from tampering.
Protect public lands and other public resources.
Mostly avoid making new laws.
Claw back power that should rest with Congress from the Executive Branch, possibly.
Do away with binding Electors.
Revert control to State and local governments when possible.
Protect the First Amendment by keeping religion out of lawmaking.
Less interventionalist foreign policy.
...and so on.
I'm sure there would still be factions within such a party, groups that were more socially liberal vs. socially conservative; those who were more economically right-wing vs. those who favored more regulation on business; those who want to institutionalize some aspects of American culture vs. those who don't think the government has a role in defining culture.
Basically, a party of doing-as-little-as-necessary and stabiloty, rather than the reactionary, illiberal, often downright regressive, and fiscally-irresponsible mess that has the gall to call themselves the "Grand Ol' Party".
historically Congress was meant to be stronger than the president, but overtime, election of the president became much more impactful, as well as the number of executive actions have increased, so proportionally speaking, the president has gained a lot of power, especially in a time where parties fall in line based on the letter of their party.