Well that's already covered under European Democratic Socialism. Or the "Swedish Model" or any of a nymber of names. But these systems really have little to do with any Marxist ideas and are actually more similar to Bismarck's conservative capitalism + welfare model. Yeah, it was mostly conservatives who created the first welfare states, in a bid to appease the masses, iron over the problems with capitalism, and keep the rising labor/socialist parties out of electoral power.
You see much more adherence to Marxist ideas inside corporations which have embraced profit sharing and collective decision making. They're basically the poster-boys for the idea that workplace democratic ownership actually works (Semco is the prime example).
The main naysayers for more worker control within companies are the collective "mangament class". They basically maintain that if you let the "rif raff" workers be in charge of anything they'll run it into the ground because their little brains can't deal with responsiblity, and the whole thing will collapse because of their greedy short-sighted little working-class minds. But this is pure classism, and many models where they give the workers more freedom to innovate and contribute show that workers definitely want to be part of the decision process, and they can in fact make adult decisions which are in both their own interest and in the companies interests. Hell, if you're rewarded in the good years worker's will even vote themselves pay cuts in the bad years. Really, the issue is that the "management class" have a privileged position and don't want it eroded. Fuck what actually makes a profit, because these people eat their steak and caviar no matter what happens to the company. If anything, the management-class have less of a visceral interest in the company staying profitable than the rank and file workers do.