Correct me if I'm wrong - I did not know asylum seekers had a vote??
The 'boats' problem is huge, and has its roots in global issues. It will, in my view, never be curtailed unilaterally, by any UK legislation. We need to get together with the rest of Europe - you know, that group of countries we have just spurned - and work something out that is humanitarian and practical. In the end, I'm afraid, it may just be something that happens in the world - we colonised southwards, refugees drift northwards. I am not saying we should feel guilty, for all countries have done reprehensible things. Nor am I saying we should accept all those who want to come here for we are only a small and overcrowded island. There's lots more room, land-wise, in France, for example. Maybe the European nations could 'club together' to build housing for the refugees, where there is space - but I'm just dreaming.....
No they can't vote, and since the passing of the new bill ,will prevent them from re entering if deported, they will not be eligible for citizenship or settlement, except in limited circumstances. So no they'll never be a voter base for Labour.