Is the Federal Government supposed to be giving citizens weapons?

I posed this question in another thread and it was suggested that I make it it's own thread for discussion. So please bear with the noob. . . and here we go.

We are all familiar with the Second Amendment, but the "militia" is also mentioned in Article 1 Section 8 of our Constitution. Section 8 seems to be the catch all place in the Constitution that has many things lumped into it. We find the power to declare war, establish post offices, roads, etc. But what I want to discuss is paragraph 16 that reads:

To provide for organizing, arming, and disciplining, the Militia, and for governing such Part of them as may be employed in the Service of the United States, reserving to the States respectively, the Appointment of the Officers, and the Authority of training the Militia according to the discipline prescribed by Congress;

(Please note that this is not about raising an army as that is addressed in paragraph 12, this is about the militia.)

I've read some that dismiss this section of Article 1 as being the modern National Guard, and that is all there is to it now. The problem with that though, is the National Guard is only a "part" of the Militia. Specifically the National Guard would be the "such Part of them ("them" being the Militia whole) as may be employed in the Service of the United States". But, the Constitution clearly says to "arm" the whole Militia; not to just arm the part of the Militia that is being paid by the Government.

So it looks to me that the Federal Government is supposed to equip all citizens (the whole of the militia) with a rifle and pistol just like our regular military forces are issued (regulated) and the states are supposed to assign officers and provide for the training. The big question then becomes, how do we get the Federal Government to start doing this?