If you're talking about the leaders of the parties in Washington DC, than neither of them care with a few exceptions. If you mean their constituents, then both likely care equally. It's just a question of the method to produce the best result.
Liberals more often believe that gov't policy can socially engineer the results they seek. I have always found this perplexing, as both liberals and conservatives acknowledge the inherent corruption in political figures and the political process both here in the US and globally...yet they want to empower these figures further.
Conservatives on the other hand lean more towards individual liberty a minimal gov't intervention into the lives of citizens. And allowing the individual to pursue the result they seek. They believe gov't should serve only the services that cannot be provided for privately. Courts of law, military, law enforcement etc. But ultimately, the goal of prosperity is the same. It's just a question of how you plan to achieve this. And which is the more practical solution.