Nevermind what he is proposing is blatantly anti 1st AmendmentThat's not true at all. You can get bounced from the military for saying all sorts of things. When you are serving in an official capacity there ARE things you can't say without consequences.
If your speech is determined to "disrupt your employer's interest in an efficient workplace", it is not 1A protected.
This is far from blatant. I honestly don't know how a court would rule. But there is something called the
Pickering Balancing Test that is normally considered.
The Pickering test is a balancing inquiry pitting “the interests of the [public employee], as a citizen” against “the interest of the State, as an employer, in promoting the efficiency of the public services it performs through its employees.”[81] While employees have a substantial interest in “speak[ing] out freely . . . without fear of retaliatory dismissal,”[82] this interest must be weighed against the government’s interest in “effective and efficient fulfillment of its responsibilities to the public.” My interpretation of the test is that this speech is NOT protected as it goes against “effective and efficient fulfillment of its responsibilities to the public.”