It's funny because you ask this question on bitcoin forum where most users are pro bitcoin.
I don't believe that ETH price will ever exceed the BTC price. I base my conclusion on the fact that Ethereum had some problems in the past, the DAO hack , which many people seem to have forgotten about now but I don't, I keep track with what happen with every coin and I believe Bitcoin will continue to remain the undisputed king for a very long time. The true competitors to bitcoin in the longer run are fully anonymous coins like Monero, Dash and Zcash in my opinion. Anonymity is becoming more and more valuable in our time.
DAO whaaat are you talking about? If something similar happens vitalik and company will just rollback the chain again and we will be back to normal. Anyway my opinion for recent pump is many new ICOs that accept only Ether and we are seeing fork that will occur to people minds that fork = free coins so in order to get your free coins you have to have ethereum, you have to buy it.
Although ethereum and bitcoin can't be compared and looked at market cap really. Ethereum wasn't build to be a currency, although it has that feature, it was mainly built to be a platform where ether is a gass for that platform - pretty cool business model if you ask me. Ethereum is a good project with a lot of support.
About privvacy I think that people are aware of that and LN will and could add an extra layer for us to mask where are coins moving to and from but we are still far from implementing in bitcoin that kind of feature. It could be done if needed something like what shadowcash did and other coins, where you can trade and have open part of transactions but you can swap and trade totally in private, because I don't see that bitcoin is going to add some privacy features like monero that is instant at least not from now, since it was open from beginning. I don't mind transactions being open, but I mind when people can write algorithms to track who is who and for what are you using your money for. But I do agree privacy should be one of our top priorities.
I am so curious that if Eth price overcome Btc's, what will happen in crypto world?
It's impossible. Just for one reason - Bitcoin have Maximum Total Supply and Ethereum doesen't have it.
well they could have higher market cap and if etherum goes viral and gets more adoption than bitcoin, for now I don't see it happening but its not something that we exclude.