I've been watching a lot of 1st Amendment audit videos and I understand that filming in public is guaranteed to any US citizen. I also understand that if no crime is committed, no US citizen cannot be asked to identify himself, or when asked can cite his constitutional right to film in public. The police have no way of lawfully forcing an individual to show an ID. However in order to use your constitutional rights you have to be a US citizen, therefore if someone is quoting their right to film in public should they not prove by providing a passport or birth certificate they are US citizens and therefore under constitutional protection?
Only for certain parts of the constitution, and not for the parts you are asking about.
Accordingly, the Supreme Court has squarely stated that neither the First Amendment nor the Fifth Amendment "acknowledges any distinction between citizens and resident aliens."13 For more than a century, the Court has recognized that the Equal Protection Clause is "universal in [its] application, to all persons within the territorial jurisdiction, without regard to differences of ... nationality."14 The Court has repeatedly stated that "the Due Process Clause applies to all 'persons' within the United States, including aliens, whether their presence here is lawful, unlawful, temporary, or permanent."15 When noncitizens, no matter what their status, are tried for crimes, they are entitled to all of the rights that attach to the criminal process, without any distinction based on their nationality.16
Are Foreign Nationals Entitled to the Same Constitutional Rights As Citizens? - David Cole, Georgetown University Law Center
I also understand that if no crime is committed, no US citizen cannot be asked to identify himself
That is incorrect.
When it comes to the fourth amendment, the constitution states "the right of the people", not the right of the citizens of the United States.
Please also note that when the constitution talks about voting rights, the constitution has no trouble using the words "the right of citizens of the United States".