Well then bitcoin will have a much higher fee, and will lose most of it's appeal in the long run.
I already have problems sending transactions at 0.0001 BTC fee, so now I use 0.00025 BTC/kb as set in electrum.
Soon that will double of triple, and bitcoin will lose its fast & cheap transaction appeals. It will be a huge marketing blowback.
Bitcoin might get a higher fee, but it will never lose its most significant appeal in the long run: Long term saving and international remittance
Let's be honest: Bitcoin will never be able to compete with those fast&cheap mobile/3rd party payment solutions that charges 0 transaction fee and instant confirmation (you even get some bonus when using them), and the possibility of refund
For example, Sweden has already over 50% of population use mobile payment. So all of these users will feel angry when they need to pay a fee to use bitcoin to spend, besides all the hassles about exchange into and out of bitcoin
So, even if you make bitcoin 0 transaction fee + instant confirmation + refund, people would still not use bitcoin to spend, because they gain nothing from switching from existing mobile payment solutions to bitcoin. People who care about bitcoin mostly attracted by its deflative nature for value storage, and they usually buy large amount of coins, so the fee is the least concern for them (I have seen these people paying 5-10% above market price to get 1-2 bitcoin, do you think they really care about the current level of fee?)
If you consider its major advantage against existing financial system, it is clear that the best marketing for bitcoin is either its exchange rate rises (for long term saving), or more and more exchanges are available in each country (for international remittance)
Credit card companies charge merchant for credit card using. Normal charge is about 2%,I believe. So there is a a clear incentive for merchant to accept bitcoin payments over VISA or Master Card for instance. I'm not sure, but I believe accepting mobile payments is not free either for merchant.