Remember that Mexican Border Wall Trump had promised? And remember that Mexico was supposed to pay for it otherwise remittance payments would be retained?
Will the Mexican peso currency is losing its value on the market.
Will the Mexican peso currency is losing its value on the market.
yeah I think it is possible but it may not happen overnight, and it may possibly take some time.
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Will the Mexican population rush to use bitcoin as there currency is failing, or will shaken investors move there recent sell off into a stronger decentralized currency? 
no!
just like many other countries with bad economy and falling currency values, this is no different either. people of these countries never rush to buy bitcoin as soon as their money went bad! if average Joes see their money value dropping they think about investing in popular things like Gold or even USD but rarely in bitcoin.