Tus comentarios

A bit late, but anyhow: There is no need to replace the single quote binding, just duplicate it and replace all the ' for ` on the block (there are three). As Gabe Muffington said, its implementable. Here is how it looks in mine, based on his advice:
(Default (Windows).sublime-keymap)

// Auto-pair single quotes

{ "keys": ["`"], "command": "insert_snippet", "args": {"contents": "`$0`"}, "context":
[
{ "key": "setting.auto_match_enabled", "operator": "equal", "operand": true },
{ "key": "selection_empty", "operator": "equal", "operand": true, "match_all": true },
{ "key": "following_text", "operator": "regex_contains", "operand": "^(?:\t| |\\)|]|\\}|>|$)", "match_all": true },
{ "key": "preceding_text", "operator": "not_regex_contains", "operand": "['a-zA-Z0-9_]$", "match_all": true },
{ "key": "eol_selector", "operator": "not_equal", "operand": "string.quoted.single - punctuation.definition.string.end", "match_all": true }
]
},
{ "keys": ["`"], "command": "insert_snippet", "args": {"contents": "`${0:$SELECTION}`"}, "context":
[
{ "key": "setting.auto_match_enabled", "operator": "equal", "operand": true },
{ "key": "selection_empty", "operator": "equal", "operand": false, "match_all": true }
]
},
{ "keys": ["`"], "command": "move", "args": {"by": "characters", "forward": true}, "context":
[
{ "key": "setting.auto_match_enabled", "operator": "equal", "operand": true },
{ "key": "selection_empty", "operator": "equal", "operand": true, "match_all": true },
{ "key": "following_text", "operator": "regex_contains", "operand": "^`", "match_all": true },
{ "key": "selector", "operator": "not_equal", "operand": "punctuation.definition.string.begin", "match_all": true },
{ "key": "eol_selector", "operator": "not_equal", "operand": "string.quoted.single - punctuation.definition.string.end", "match_all": true },
]

}