the cost for an EV will probably never come down to a parity with ICE cars
Most experts think that once the cost of a battery comes down, battery electric vehicles will cost less than ICE vehicles. Some people are claiming that BEVs are already cheaper than ICEVs if you take total cost of ownership into account.
I have seen several people repeating the claim that when lithium batteries for cars drop below $100 per kilowatt-hour, BEVs will cost less than ICEVs and consumers will start switching to them to save money. Elon Musk has in the past said that 2020 could be the year this happens. (For Tesla, anyway, since Tesla built its own battery factory just to get the lowest cost on batteries.)
the only hope is for some type of battery that does not involve lithium
I'll bet you that BEVs will boom in the next few years, still using lithium batteries. The high price of lithium is sending a signal to the free market, and as a result more development of lithium resources is happening. If prices are high enough, lithium and other metals can be recovered from sea water, and we aren't running out of sea water anytime soon. Also, we haven't really started recycling lithium car batteries yet, but that's coming too.
According to this article a Tesla Model S only needs 15 pounds / 7 kg of lithium, about as much as a bowling ball; and experts think that just the lithium available from mining would be enough for 185 years.
Tons of research is going into batteries, but it is way too early to bet on a winning horse at this point.
For years I have been interested in batteries big enough to run an entire city ("grid-scale" batteries). I was assuming that something unusual like the liquid metal battery technology or flow batteries would be needed, but Tesla has started selling grid-scale lithium battery packs to Australia. So maybe lithium is even getting inexpensive enough for grid-scale. My understanding is that the Tesla battery in Australia can only supply power for a very short time, so I haven't lost interest in liquid metal or flow batteries.