We've already shown that the plan would save Medicare, not end it.

You have to save that stuff for people who don't understand what Ryan's proposing.
The fact that Ryan has offered a repeal-and-replace for Medicare as opposed to simply a repeal doesn't mean he's trying to "save" it.
You don't think Democrats did a bit of hand waving and shuffled the books on Obamacare?
That's an interesting defense of Ryan's proposal. Doesn't inspire much confidence, though.
Obama wants to cut $400 billion from Medicare to pay for Obamacare. That is a fact.
The bulk of those cuts are pretty common sense: payments that Medicare makes to hospitals to treat the uninsured are scaled back as the number of people with insurance rises, and overpayments to private insurers administering the privatized portion of Medicare (which was sold as a way to reduce costs, yet now costs significantly more per enrollee than traditional Medicare) will be phased out. There's about $160 billion gleaned from slowing the growth of the market basket update for certain reimbursements, which is what I suppose you're talking about; those are designed to result from spending reductions achieved through the numerous delivery and payment innovations implemented in Medicare by the ACA.
The interesting note here is that Ryan has retained the ACA's cuts to Medicare. Yet his plan doesn't reduce the number of insured (so reducing DSH payments to hospitals that treat the uninsured doesn't make sense for him), and he repeals the Medicare payment and delivery reforms, so there's no reasonable expectation that some mechanism for slowing those Medicare market basket updates can work.
Obamacare wants to transfer more and more of the expenses to state governments.
You need to hit the books. Here's how Medicaid works now: a state spends however much it wants and the federal government matches its spending at least dollar-for-dollar (in most states, it matches more than a dollar for each state dollar spent). Under that system, the feds pick up between 50% and 67% of a state's Medicaid tab (technically the feds are paying a larger share right now due to the stimulus but that'll be expiring soon) but the state determines how much the feds give them because it's a match system.
Under the ACA, eligibility is expanded but anyone who becomes eligible for a state's Medicaid program because of the ACA has
all of their costs borne by the federal government until 2016, they have 95% of their costs borne by the feds in 2017, 94% in 2018, and 93% in 2019. Starting in 2020 (and in perpetuity thereafter), the federal government pays 90% of the costs of anyone who is eligible for a state Medicaid program due to the expansions in the ACA.
That is not a shift to the states, it's a 90/10 match (which is significantly better than the match states already get for their traditional Medicaid population). That is, the federal government has taken on 90% of the additional burden (in the second decade; in the first it obviously averages out to more than 90%) and left 10% to the states. Yes, states and feds alike take on additional financial burdens but the state share hasn't been shifted off of the feds' shoulders.
A block grant, on the other hand, is
exactly what that is. It eliminates the match system and tells the state we're going to give you X dollars next year, and presumably that will decline over time. Ryan's amazing "savings" or cuts or whatever you want to call them in Medicaid are simply him telling the states "you deal with this." The poor, the elderly, and those in need of long-term care don't magically disappear, but much of the federal funding states use to address their health needs does. Thus the state is put under a increasingly huge financial burden, which will not only strain the state's coffers but lead to cost shifts to hospitals (as states are forced to scale back coverage) and consumers.
If you want to argue the merits of converting Medicaid into an incredibly shrinking block grant, so be it. But learn what that means first so you don't make silly arguments about
other proposals transferring "more and more of the expenses to state governments" that will quickly come back to haunt you.