Would a reasonable person look at the flag and reach that conclusion?
They fly it over the Stars and Stripes aboard U.S. Navy ships at sea when services are in progress. It is the only flag authorized to fly above the national flag.
As for being “uncomfortable” did you ever consider you are hyper sensitive? There is an old proverb that goes something like, “When you increase sensitivity, you increase the false alarm rate.” Also, consider this:
…Under the endorsement [of religion] test, the government violates the Establishment Clause when it acts in a manner that a reasonable person would view as an endorsement of religion. … This is an objective standard, similar to the judicially-created ‘reasonable person’ standard of tort law. … Accordingly, we do not ask whether there is ANY person who could find an endorsement of religion, whether SOME people may be offended by the [Ten Commandments] display, or whether SOME reasonable person MIGHT think [the government] endorses religion. Rather, the inquiry here is whether THE reasonable person WOULD conclude that Mercer County’s display has the effect of endorsing religion. … The ACLU makes repeated reference to ‘the separation of church and state.’ This extra-constitutional construct has grown tiresome. … state recognition of religion that falls short of endorsement is constitutionally permissible. – Sixth Circuit Court of Appeals, ACLU of Kentucky vs. Mercer County, KY