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Immigration is unpopular, most of their supporters don't want it either.
I think the fence will stay (they promised such), but the Tisza govt. will agree on taking in migrants from the EU according to the "migrant pact". This will mean some thousands (about 20K? not sure from the top of my head) of Muslims and negers and Muslim negers. The end result might turn Tisza voters against them. Won't break the govt, but there could be a number of issues and this is one among these.

One possibility is that the Tisza will become very unpopular. The situation is such in the country that they have to make some hard decisions and many will feel the pain of it.
The voterbase is very colorful, liberals, socialists, greens, conservatives. And they can't satisfy everyone. The only thing that holds them together is that they did not want four more years of Fidesz.
And then the Tisza Party is tiny. The actual membership is like 30 people. Who the hell will be the ministers is a mystery. So whoever they involve all will have different agenda. And then they have to fill all the offices from top to bottom with their own cadre. But everything is full of with butthurt Fideszniks who depended on the Fidesz being in power. They will sabotage everything, they will make false reports, and slow down processes.
It can happen that their govt will fail, and in a snap election the Fidesz returns. And they can blame all the bad things on the Tisza. People would go mad tho.
Two things really goes for Tisza: they have 2/3 so they can change constitution with ease, and for now they have the Fidesz as a scapegoat if things turn sour. Just point over the isle and blame Orbán. People will love that.