The rise of plaque in the linings leads to clogging of the arteries which narrows their pathways. The reduced elasticity of arteries in addition to their narrowing will lead to a rise in blood pressure as the heart will need to pump blood with a higher force so that it could pass through the arteries that are defective.
In actual fact the usage of dairy products such as cheese and butter has a similar effect as milk. Many who consume plenty of these dairy products and milk in their diet have a great likelihood of developing clogged blood vessels. If you are obliged to take milk, it should be taken in small quantities and homogenized milk should be avoided when possible.