And evidence of support would be some indication, any indication, that he tried to get the bill through. Yet there is none. None whatsoever.
In addition to the explicit request for a court bill in his 1862 state of the union address, the online index of Davis' collected works found at http://jeffersondavis.rice.edu/ includes, under its index heading "supreme court," the following documents:
Vol 8 (1862) pp. 61
Vol 9 (1863) pp. 3, 219
Vol 10 (1864) pp. 614
Vol 11, covering the second half of 1864 and 1865, has yet to be published.
This indicates that Davis wrote or spoke on the court AT LEAST four times after his 1862 address, at which time the judiciary bill he desired was being debated in Congress.
Under the heading of "Confederate States: Judiciary" are pp. 68, 142
Vol 8 (1862) under "judicial appointments" pp. 120
Vol 10 (1864 - first half) under "Confederate States: judicial system" pp. 553-54
That makes at least 8 explicit references in Davis' papers.