The question posed was whether or not freemasonry has an influence on government. Strange how that particular question produces waving autumn fields of straw men.
Yes. Freemasonry DOES influence government. It influences government, police, business and more important than all, the judiciary. All you need to do, when faced with a member of any of those organisations is ask the question. Are you a freemason or a member of any other secret organisation? Freemasons are prohibited from denying their membership. They will simply answer indirectly.
You should NEVER accept ANY judge, jury or lawyer who will not state that he is not a member. You should also ask, if a plaintiff or defendant in any case, whether the opposition has affiliations to freemasonry. In most jurisdictions you have a right to apply to be heard by a different court. You must do that.
No freemason will EVER condemn a fellow mason. They say that they act within the law and so they do, but there is a huge difference between acting within the law and and being honest. It's the 'whole truth' they avoid.
Governments all over the world are influenced by freemasonry. Freemasonry in government will always promote the innocence of its members who are very often big business.
The law allows one man to fight another for justice but it does not allow one small man to fight against a large corporation. Freemasons will do anything, literally anything, to prevent an even playing field.
I don't know any Freemasons that answer indirectly. Freemasons are not a "Secret" organization. The buildings are well marked, membership is known, most Freemasons have stickers, etc. proclaiming who they are on their vehicles. Now the organization has some "secrets" that are so secretive that even at the beginnings of the organization the news sheets would joke about the "secrets that are not secrets"... But there is nothing hidden about the organization.
As for whether they have power, I am sure there are some Freemasons somewhere that hold some positions in government, but I have seen no evidence of the organization itself holding any massive power... But that might just be the fact that all I am is a former Master of the Lodge, and have never been a member of any appendant bodies or any further than that.
There was a time back in the day when it really counted for something, but those days are long gone. After the Morgan Affair and the subsequent anti-Freemason movement in the US Freemasonry really lost most influence it may have had. Now the Morgan Affair shouldn't be confused with "the reason" the Anti-Mason Party was formed, it was just the catalyst, the "last straw" so to speak. However, it was effective, being a Freemason after the Morgan Affair was not thought of as a "good thing" and membership declined massively. It wasn't until after the World Wars that membership began another increase, it is my theory that war veterans with PTSD wanted places to meet and feel a brotherhood...
Anyway. I would say, it is my experience that the Freemasons don't hold any power in government. But as I said, it isn't like I know everybody in the fraternity. It's possible that some may have influence.