I'm not sure what your cultural context is here, but what I'm mainly saying is that you reap what you sew. If the left is winning the "caring" argument and the right is misunderstood, then I think the blame should probably not start with the left for winning the argument, but for the right in acting in such a way that the argument is so obviously decided for most observers.
You're absolutely right that the right's clearly losing the argument, and I think it's the biggest challenge that the modern right faces - how to present the argument that caring isn't just about spending the most money, that the imbalance between classes in the UK can't be fixed by welfare programmes or nationalised industries, and that the private sector is the only way for genuine prosperity to grow, because it's makes the most effective use of our workforce whilst freeing the government coffers to do things that
only the government can do (such as large infrastructure projects and working with industry for housebuilding projects etc), without comoeting with the private sector with what
it can do. Indeed, to get back on topic vaguely, I think this is exactly what happened when Thatcher was eected in 1979 - that people realised that the good initial intentions of the unions had lead the economy to a place where no one wanted to invest in us, there was little money to go around and that the policies that were intended to help the workers ended up harming them because of lack of jobs. I think this is a relatively cyclical thing, but it's a cycle that has been busted somewhat by the fact that our latest recession has been debt-induced rather than inflation-induced. It makes the "cure" far less obvious, and it's a lot easier to point to the specific people and groups of people that are harmed by spending cuts than to point to the nebulous concept of "the economy" that benefits when those cuts are done.
But I think the fact that this recession has been debt-induced (private and public, of course) has also made this even less clear - The UK has undergone the developed world's largest money printing exercise used to buy our own bonds, and it's had two main effects - it has pushed inflation up (around 15% in the last 5 or so years, in a time when our incomes have more or less remained static) and our interest rates down (all interest rates - saving accounts, variable rate mortgages and, crucially, government bonds). Of course, the fact that our own central bank (owned 100% by the Treasury) buys bonds from the Treasury means that the money is given from the right hand to the left hand. This has the effect of lowering our bond yields to a measly 1.7%. So far, so MMT. But the problem is that, whilst this saves the Treasury over £9bn a year in debt interest vs what it would have been paying without those QE exercises, it takes money both from savers and those without payrises - it means that, unless you have a very fancy bank account, your savings are losing value. And unless you're constantly getting promotions, you're income is losing value. This is the price of that £9bn a year saved by the treasury - it's a tax by any other name, and it's basically as much as the originally Cypriot haircut offer, harming (almost) everyone from minimum wage part timers to pensioners, via those on welfare and those with savings. And yet not a peep is heard on the media about this. People talk about a cut to the top rate of income tax here, a change to VAT there - this is what's really harming people's dwindling purchasing power.
What does this have to do with the right's inability to sell its message to people? This easy method of raising tax without raising eyebrows has allowed the government to continues its spending, for the most part. The UK's government spending has gone down at a far slower rate than was originally intended, and every time theres a budget or Autumn statement, the cuts get pushed further and further back. But you don't really hear about
this, either. What you do hear about is a cut in the top rate of tax from 50% to 45%, coupled with a scarcely a change in public spending, and yet the public are convinced that this
is the right's economic solution to our malaise, and are pointing to our lack of economic progress as an example of the right wing response therefore not working. When monetary activism allows the government to effectively delay significant reform of the balance of the economy, it becomes very difficult to sell your message to why you need to.
Edit: I also think I need a nice new label to bow-wrap myself in. I believe in the power of free markets but the need for as great-a equality of opportunity as possible. I believe in a safety net. I believe in publicly funded but privately administered healthcare. I believe in publicly funded but privately administered schools. I believe that any utility that cannot sustain reasonable competition - such as water utilities - should be nationalised, and those that can sustain inter-company competitions for tendering (such as contracts to run a certain train service - using contracts that are actually good and ruthlessly enforced) should be opened out to the private sector. I think the university education shouldn't be publicly funded but that interest-rate loans should be available from the government for fees and living expenses. I think the banks should be allowed to fail, even if it results in short term economic chaos. I think that large infrastructure projects are very much the business of government, but that funding enormous media companies is not. I think that immigration should be limitless, and that welfare should be tapered to counter the situation of those from outside the UK having a greater incentive to get a job than those in the UK due to the significant effective tax rates on work that welfare creates. I believe that Tottenham will get into the Champions League if only we sold Adebayeor and put someone more useful up front, like Gallas. I think the Emirates should be burnt to the ground as a purely Keynsian stimulus measure. What am I?
Edit 2: I also believe I should base less of my post's on the metered rhythm of Savage Garden songs.