All the sense 1 examples in the refs are of the form [noun]総ぐるみ. Although the resulting compound is adj-no, 総ぐるみ itself is not.
The only example I can find for sense 2 is prog's "この縫いぐるみの犬はビロードの総ぐるみです".

@@ -15,3 +15,2 @@
-<pos>&adj-no;</pos>
-<pos>&n;</pos>
-<gloss>whole (group of people, membership, staff of employees, etc.)</gloss>
+<pos>&n-suf;</pos>
+<gloss>whole (family, company, village, etc.)</gloss>
@@ -19 +18 @@
-<gloss>complete</gloss>
+<gloss>all (citizens, employees, etc.)</gloss>
@@ -22 +20,0 @@
-<pos>&adj-no;</pos>
@@ -24 +22 @@
-<gloss>completely covered (e.g. in cloth, leather or velvet)</gloss>
+<gloss>covering entirely (in cloth, leather, etc.)</gloss>

gg5, daijr, iwakoku, shinsen have the first sense.

Prog, sankoku, and jitenon also have a second sense.
Sankoku: いすなどの全体を、革や きれで〈包むこと／包んだもの〉。

〈総／そう／ソウ〉〈包（み）／ぐるみ／グルミ〉

Google N-gram Corpus Counts
╭─ーーーーー─┬────────╮
│ 総ぐるみ　 │ 10,230 │
│ 総包　　　 │  2,991 │ - (probably counts for そうほう)
│ 総包み　　 │     79 │
│ そうぐるみ │     50 │
╰─ーーーーー─┴────────╯