I don't think so, but it's price would be lower than it is now
The price of bitcoin will be strong as long as people are interested in it and it wont go down any time soon if that is what you are trying to tell.
No, fiat is going to be around for a long time. I think the better question is: if Bitcoin is worth 10,000$ will it become a recognized alternative to fiat? 'Cause we aren't even there yet.
Bitcoin will be seen as an alternative many many as a mode of investment and if you are really into it you would know that.If the world is to accept digital currency rather than fiat it is going to take a really long time.