I'm not sure what you mean. Non-EU immigration has a bigger impact on overall immigration levels than EU immigration levels. The government are in control of Non-EU immigration levels, and throughout that time have not reduced those numbers. They have chosen not to. Leaving the EU will not make it any easier to do so. These are all facts.
If you accept those facts, then you agree that leaving the EU will not fix that problem. The government
might decide to reduce immigration levels, or they might not. Your choice to leave the EU does does not force them to reduce immigration levels. When the Leave campaign implied that they could not control immigration levels while being in the EU, they were not being truthful. We could control immigration levels, and chose not to. These are not interpretations but statements of fact also. If you have some facts that contradict them, feel free to put them forward.
The control they exerted over immigration was as follows: in every quarter of the last decade they were happy to have more immigrants coming into the country, than the numbers that chose to come to the EU as a result of freedom of movement. How do we know that? The highest number of immigrants coming to the UK from the EU, as a result of free movement, was in Q2 2016 when 284,000 people moved here. In that same quarter, the government chose to allow 291,000 people from outside the EU to come in. So we know, conclusively, that the government does not want fewer immigrants to come in than the EU "forced" us to let in.
That's pre-Brexit, though. What do we know about post-Brexit? Unsurprisingly, lots of folks from the EU were wary about moving the UK, so immigration levels dropped significantly, from 250,000 in Q3 2017 to roughly 200,000 in Q3 2018. The European folks made the government's job easier: if they wanted to reduce overall immigration levels in the past year, all they'd need to do is maintain the number of Non-EU immigrants they accept into the country. Yet over that same period we saw an almost identical increase in Non-EU immigrants, from 290,000 in Q3 2017 to 340,000 in Q3 2018. In every quarter since Q3 2017, we have let in at least 314,000 immigrants from non-EU levels - more than at any point since 2011. And in the latest quarter we have data on, Q3 2018, we let in more non-EU immigrants than at any point over the last decade.
All of the above are not questions of interpretation, but fact. Facts provided to us directly by the UK government, available for you to see right
here. What is up for interpretation is the trends. Between Q3 2014 and Q2 2017, non-EU immigration levels stayed incredibly steady - between 280,000 and 300,000 people in every quarter. After Q2 2017, immigration levels increased significantly. What caused that increase? We weren't forced to allow more people in. The most likely explanation, from my perspective, is that we wanted to compensate for the loss in EU immigrants by bringing in more non-EU immigrants. The similarity in the trends is remarkable.
In other words, while controlling immigration might be an objective of yours, the actions of the government both pre- and post-Brexit indicate they have no interest in controlling it in the way you want. Brexit will not force them to do so. It's possible that Brexit will make it easier, as it makes it administratively easier to control. However it's also entirely possible that the government disagree with you entirely, and believe immigration is necessary for the economy, and you'll be in exactly the same position you were before on this specific issue.