Without radical action nothing will change.
Muslim immigrants will come from Libya and land on our shores even if we choose to let them drown.
Once they land here we would realistically and idealistically send them back. However, Libya won't necessarily take them as they might not want to and most of the deportees aren't Libyan.
I believe that deportation is the only feasible solution that would be democratically supported.
We would have to set up refugee camps and keep them at bay.
The possible solutions are as follows in order of feasibility.
1)Set up refugee camps for all incoming "refugees"
2)Invade Libya and force them to accept them back or enforce border control in their country.
3) Set up labor camps to gain economic value out of them as well as discourage immigration.
4) Shoot them on sight. This would also discourage immigration.
3 and 4 would cause trouble with the (((International Community)) though, but we also must remember that Israel is going through the same issue as us. Jews will be a minority in their country soon and if they do anything we also have the mandate to do the same.
Even if we do stop immigration we are faced with another issue. We are being outbred and even if we stop immigration that fact won't change.
Kicking them out would be much harder and once again time is of the essence.