They're not really analagous at all.
Texas was a truly Democratic state, and all of a sudden it changed. It was Democrat at the state level, had a majority Democrat congressional delegation, its Senators (Tower, Gramm) were both Democrats in the early 90s and late 80s, Democrats held both chambers of the legislature, and the Governorship always went Democrat.
Then all of a sudden it flipped completely.
Does New York have a history of Republican Senators? Governors? Who holds the lower house of the legislature? How about your house delegation?
New York is a Democrat state temporarily held by the GOP and is now going back Democrat. Texas was a Democrat state that became a GOP stronghold.
Tower and Gramm were both Republicans when they were in the Senate. Gramm was a Democrat originally in the House, but switched to the GOP while still in the House.
But Lloyd Bentsen, a Democrat, was a senator from Texas from 1971-1993.