If BTC falls to $2k, then all of the alts will fall with it. But no, it won't be the end of ICOs, just a temporary setback. Crypto is still very strong and offers huge promise. I'm confident that BTC would recover from that low, and the good alts would recover too.
Since bitcoin is the engine of this market if its price reached those levels then we will see all the market going down again, however I do not know if you are right about your assessment of icos, the ico market is suffering greatly and it does not seem like it will recover even if bitcoin began going up in price because such a market depends very heavily on the trust investors may have about such projects and the trust in those projects is quite low at the moment.