"there is no system in which every person can live the way they want without being influenced by others beliefs" - I completely agree.
"Groups will always have more power to force their beliefs on individuals" - true in many cases, but not all
"Government allows us to determine collectively which freedoms we want to restrict because one person's freedom can result in the denial of another's" - My disagreement here is with the term "allow". Allow assumes that the government has ownership of one's freedom of choice. That's not correct. Our government should be a management company, not a ruling entity that allows you to take actions. Our founding fathers never intended that the government would allow you to do anything, rather, they setup a government that would be a servant entity to the people. You may not have intended your statement that way, but that is something to consider in the choice of the word.
"Freedom is not a gift bestowed upon us by other men, but a right that belongs to us by the laws of God and nature." - "On Government No. I", John Webbe, published in Benjamin Franklin's paper, The Pennsylvania Gazette, April 1, 1736
"We have freedom of religion because we collectively agree that it is a good thing" - I have to disagree. We have freedom of religion because it is a Constitutionally-protected freedom. Our fore-fathers recognized this as one of the most important reasons that the first Pilgrims came to America, and determined to make this a founding principal of this country from the beginning. "We the people" did not vote on this, or collectively agree - the founding fathers decided to collectively agree that this was an important founding principal that must be protected.
A democracy is not the same as a republic. A democracy is the rule of the majority over the individual. and the majority's power is absolute and not limited. A Republic protects the minority and individuals by establishing rights that are not designed to simply be overwritten by the collective will of the majority. That does not mean that it cannot be changed, but that amendments go through the proper checks and balances first, and pass Constitutional muster.
"You say no taxation without representation but you do have representation whether you agree with what your representative does or not. Representation does not entitle you to getting things your way, it's just a voice, no more valuable than anyone else's." - Very true, and well-stated.