I find no ship departing for the states in the time frame you provide. This does not show up on my list, but that is not unexpected. There are many "skips" in this data.
I do note that the QUEEN MARY departed Gonrock, Scotland on June 15, 1945, and arrived at Berth-52, Saipan, Marianas Islands on June 20(?),1945, with troops scheduled to participate in the invasion of Japan.
Which means that he did not RETURN on the QM.
It was exciting to find his division on the OUTWARD list.
An MD Platoon is listed as an element of the division outbound, but not by number.
And again, that's about all I know about the subject.
Is your father alive? I hope so, and if so, please convey my best regards.