To answer the original question: No
In particular the reason I say no is because of SS's income redistribution component.
I will probably pull less than my "fair share" out of SS, and I'm just fine with that - I do believe (Yaeger's arguments notwithstanding) that there is value in having the government provide a "floor" to retirement income, even if it causes some disincentives at the bottom.
What I *would* potentially support is a reduction of the scope of social security so all I'm paying is the redistribution portion (i.e., so that I get nothing out, but what I pay in gets paid to those less fortunate than me).
I can take care of my retirement income myself, and would rather not have the government (with all its inefficiencies) attempting to take care of a portion of that for me.
Yaeger - I believe a couple of your arguments are too absolute for my taste:
1. I don't believe the affluent will be significantly disincentivized by a small increase in taxes or a slightly more progressive structure. You argue as if there's a binary switch involved - increase marginal tax rates by a bit and the rich will stop working.
2. I also don't have the faith that you do in the general populace - specifically, your assertion that removing the safety net will bring people to reason and will cause them to start saving for themselves. There already is so much benefit of having income above social security that I think few people that aren't already saving would start saving more.
3. Finally in terms of income redistribution - You made a consumption argument - saying that taxing the rich more will reduce their consumption (among other things) which will cause economic harm. In fact, I believe it is generally accepted that poorer individuals have a higher marginal propensity to consume than richer individuals. This means that taking a dollar from a richer person and giving it to a poorer person could have a beneficial effect - (for support see, for example:
http://houseofdebt.org/2014/04/13/who-spends-extra-cash.html)
I do generally take umbrage at those that clamor for taxing some group of which they are not a member, and the vilifying of one party or another. We all are participating in this society and benefiting from it, and we should all do our part to make it stronger. Let's recognize that the rich by and large worked hard to become rich and let's recognize that many of the poor work hard too, but lacked the luck or the opportunity to put themselves in the right place to become rich.