Actually, no. It is not your right.
There is a reason why the Second Amendment is the second, while private property only gets mentioned starting in Amendment 3.
The Second Amendment says "the right of the people to keep and bear arms shall not be infringed". That means what is says: shall not be infringed. Not by Congress. Not by your state. Not by your local municipality. Not by your local homeowners association. And not by you.
As a private property owner, you do have the constitutional right to decide who is and is not allowed onto your property. That is your right. However, by the Bill of Rights, you are NOT allowed to decided whether or not they may exercise their right to keep and bear arms while on your property. Unless you are willing to search everyone at the gate and specifically exclude those who are exercising their right to keep and bear arms, you are not empowered to make complaint about them exercising their rights after the fact. Now, if they abuse their right to keep and bear arms and engage in harmful behavior, that is a different matter entirely.
Of course this is really moot. I can see no rational reason why anyone should feel the need to exclude law abiding gun owners; they are not the problem. You can spend all the time you like around law abiding gun owners carrying concealed arms and never know it. It's the non-law abiding gun owners who are the problem, and they don't obey "gun control" laws or rules (it's kind of what makes them non-law abiding).
Uh no, the Bill of Rights does NOT apply to private citizens.
Do not tell me I cannot prevent Free Speech on my property. Or any other right, if I do not want it to happen on my property.
I will also have to say your lack of understanding in regards to simple civics and law is astounding.