No, mass immigration is a problem. Please stop pretending like it's just a symptom of an underlying issue, it's this sort of patronisation that further alienates and divides people - 'Oh, you just think that immigration is a problem, that's okay for you to think because you're not highly educated like me, but just know that you're wrong, okay little guy? And by the way, I know what's best for you! (Followed by distanced shouts of racist, xenophobe and bigot)' It's sickening.
It's a self fulfilling prophecy, this is all at the whim of globalisation, you'll sit there and pretend like there is a reasonable, best of both worlds solution, but there isn't, and then you'll continue to further degrade those issues through your left wing ideologies simply exacerbating the problem. It's not an outstretched hand of help, it's a power grab and you know it, that's how it works. Mass immigration keeps the left in power, to go against it would render them useless in the current climate.
You make a point I agree with, though I don't suspect you'll see it in the same way I do, but Labour and the Tories are two heads of the same beast, Corbyn has thrown a bit of a spanner in the works but the key difference between Labour and the Tories to me has always been that one is blue and the other is red. Both need to collapse and disappear so that new parties can be established that actually represents the key divide in this country.
Your second paragraph backs up what I said above. Mistakes were made in the past, but it was an inevitability of an ideology that is now fully endorsed by the left wing.